author | blanchet |
Wed, 12 Feb 2014 17:36:00 +0100 | |
changeset 55444 | ec73f81e49e7 |
parent 55394 | d5ebe055b599 |
child 55480 | 59cc4a8bc28a |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/BNF/bnf_def.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2012 |
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Definition of bounded natural functors. |
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*) |
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signature BNF_DEF = |
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sig |
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type bnf |
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type nonemptiness_witness = {I: int list, wit: term, prop: thm list} |
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val morph_bnf: morphism -> bnf -> bnf |
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val bnf_of: Proof.context -> string -> bnf option |
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val register_bnf: string -> (bnf * local_theory) -> (bnf * local_theory) |
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val name_of_bnf: bnf -> binding |
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val T_of_bnf: bnf -> typ |
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val live_of_bnf: bnf -> int |
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val lives_of_bnf: bnf -> typ list |
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val dead_of_bnf: bnf -> int |
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val deads_of_bnf: bnf -> typ list |
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val nwits_of_bnf: bnf -> int |
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val mapN: string |
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val relN: string |
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val setN: string |
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val mk_setN: int -> string |
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val mk_witN: int -> string |
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val map_of_bnf: bnf -> term |
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val sets_of_bnf: bnf -> term list |
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val rel_of_bnf: bnf -> term |
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val mk_T_of_bnf: typ list -> typ list -> bnf -> typ |
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val mk_bd_of_bnf: typ list -> typ list -> bnf -> term |
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val mk_map_of_bnf: typ list -> typ list -> typ list -> bnf -> term |
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val mk_rel_of_bnf: typ list -> typ list -> typ list -> bnf -> term |
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val mk_sets_of_bnf: typ list list -> typ list list -> bnf -> term list |
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val mk_wits_of_bnf: typ list list -> typ list list -> bnf -> (int list * term) list |
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val bd_Card_order_of_bnf: bnf -> thm |
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val bd_Cinfinite_of_bnf: bnf -> thm |
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val bd_Cnotzero_of_bnf: bnf -> thm |
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val bd_card_order_of_bnf: bnf -> thm |
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val bd_cinfinite_of_bnf: bnf -> thm |
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val collect_set_map_of_bnf: bnf -> thm |
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val in_bd_of_bnf: bnf -> thm |
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val in_cong_of_bnf: bnf -> thm |
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val in_mono_of_bnf: bnf -> thm |
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val in_rel_of_bnf: bnf -> thm |
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val map_comp0_of_bnf: bnf -> thm |
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val map_comp_of_bnf: bnf -> thm |
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val map_cong0_of_bnf: bnf -> thm |
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val map_cong_of_bnf: bnf -> thm |
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val map_def_of_bnf: bnf -> thm |
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val map_id0_of_bnf: bnf -> thm |
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val map_id_of_bnf: bnf -> thm |
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transfer rule for map (not yet registered as a transfer rule)
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val map_transfer_of_bnf: bnf -> thm |
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val le_rel_OO_of_bnf: bnf -> thm |
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val rel_def_of_bnf: bnf -> thm |
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val rel_Grp_of_bnf: bnf -> thm |
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val rel_OO_of_bnf: bnf -> thm |
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val rel_OO_Grp_of_bnf: bnf -> thm |
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val rel_cong_of_bnf: bnf -> thm |
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val rel_conversep_of_bnf: bnf -> thm |
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val rel_mono_of_bnf: bnf -> thm |
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val rel_mono_strong_of_bnf: bnf -> thm |
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val rel_eq_of_bnf: bnf -> thm |
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val rel_flip_of_bnf: bnf -> thm |
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val set_bd_of_bnf: bnf -> thm list |
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val set_defs_of_bnf: bnf -> thm list |
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val set_map0_of_bnf: bnf -> thm list |
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val set_map_of_bnf: bnf -> thm list |
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val wit_thms_of_bnf: bnf -> thm list |
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val wit_thmss_of_bnf: bnf -> thm list list |
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val mk_map: int -> typ list -> typ list -> term -> term |
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val mk_rel: int -> typ list -> typ list -> term -> term |
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val build_map: Proof.context -> (typ * typ -> term) -> typ * typ -> term |
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val build_rel: Proof.context -> (typ * typ -> term) -> typ * typ -> term |
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val flatten_type_args_of_bnf: bnf -> 'a -> 'a list -> 'a list |
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val map_flattened_map_args: Proof.context -> string -> (term list -> 'a list) -> term list -> |
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'a list |
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val mk_witness: int list * term -> thm list -> nonemptiness_witness |
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val minimize_wits: (''a list * 'b) list -> (''a list * 'b) list |
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val wits_of_bnf: bnf -> nonemptiness_witness list |
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got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
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val zip_axioms: 'a -> 'a -> 'a -> 'a list -> 'a -> 'a -> 'a list -> 'a -> 'a -> 'a list |
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datatype const_policy = Dont_Inline | Hardly_Inline | Smart_Inline | Do_Inline |
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datatype fact_policy = Dont_Note | Note_Some | Note_All |
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val bnf_note_all: bool Config.T |
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configuration option to control timing output for (co)datatypes
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val bnf_timing: bool Config.T |
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val user_policy: fact_policy -> Proof.context -> fact_policy |
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val note_bnf_thms: fact_policy -> (binding -> binding) -> binding -> bnf -> Proof.context -> |
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Proof.context |
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val print_bnfs: Proof.context -> unit |
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val prepare_def: const_policy -> (Proof.context -> fact_policy) -> (binding -> binding) -> |
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(Proof.context -> 'a -> typ) -> (Proof.context -> 'b -> term) -> typ list option -> |
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binding -> binding -> binding list -> |
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(((((binding * 'a) * 'b) * 'b list) * 'b) * 'b list) * 'b option -> Proof.context -> |
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string * term list * |
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((Proof.context -> thm list -> tactic) option * term list list) * |
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((thm list -> thm list list) -> thm list list -> Proof.context -> bnf * local_theory) * |
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local_theory * thm list |
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val define_bnf_consts: const_policy -> fact_policy -> typ list option -> |
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binding -> binding -> binding list -> |
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(((((binding * typ) * term) * term list) * term) * term list) * term option -> local_theory -> |
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((typ list * typ list * typ list * typ) * |
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(term * term list * term * (int list * term) list * term) * |
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(thm * thm list * thm * thm list * thm) * |
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((typ list -> typ list -> typ list -> term) * |
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119 |
(typ list -> typ list -> term -> term) * |
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120 |
(typ list -> typ list -> typ -> typ) * |
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121 |
(typ list -> typ list -> typ list -> term) * |
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122 |
(typ list -> typ list -> typ list -> term))) * local_theory |
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123 |
|
49018 | 124 |
val bnf_def: const_policy -> (Proof.context -> fact_policy) -> (binding -> binding) -> |
55197 | 125 |
(Proof.context -> tactic) list -> |
126 |
(Proof.context -> tactic) -> typ list option -> binding -> |
|
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127 |
binding -> binding list -> |
54421 | 128 |
(((((binding * typ) * term) * term list) * term) * term list) * term option -> |
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lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
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129 |
local_theory -> bnf * local_theory |
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130 |
end; |
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131 |
|
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|
132 |
structure BNF_Def : BNF_DEF = |
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133 |
struct |
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134 |
|
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|
135 |
open BNF_Util |
49463 | 136 |
open BNF_Tactics |
49284 | 137 |
open BNF_Def_Tactics |
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138 |
|
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139 |
val fundefcong_attrs = @{attributes [fundef_cong]}; |
51765 | 140 |
|
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|
141 |
type axioms = { |
53270 | 142 |
map_id0: thm, |
53287 | 143 |
map_comp0: thm, |
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144 |
map_cong0: thm, |
53289 | 145 |
set_map0: thm list, |
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|
146 |
bd_card_order: thm, |
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|
147 |
bd_cinfinite: thm, |
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|
148 |
set_bd: thm list, |
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149 |
le_rel_OO: thm, |
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|
150 |
rel_OO_Grp: thm |
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151 |
}; |
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152 |
|
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153 |
fun mk_axioms' ((((((((id, comp), cong), map), c_o), cinf), set_bd), le_rel_OO), rel) = |
53289 | 154 |
{map_id0 = id, map_comp0 = comp, map_cong0 = cong, set_map0 = map, bd_card_order = c_o, |
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155 |
bd_cinfinite = cinf, set_bd = set_bd, le_rel_OO = le_rel_OO, rel_OO_Grp = rel}; |
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156 |
|
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prefer explicitly qualified exceptions, which is particular important for robust handlers;
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|
157 |
fun dest_cons [] = raise List.Empty |
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|
158 |
| dest_cons (x :: xs) = (x, xs); |
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|
159 |
|
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|
160 |
fun mk_axioms n thms = thms |
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|
161 |
|> map the_single |
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|
162 |
|> dest_cons |
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|
163 |
||>> dest_cons |
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|
164 |
||>> dest_cons |
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|
165 |
||>> chop n |
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|
166 |
||>> dest_cons |
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|
167 |
||>> dest_cons |
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|
168 |
||>> chop n |
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|
169 |
||>> dest_cons |
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|
170 |
||> the_single |
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|
171 |
|> mk_axioms'; |
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|
172 |
|
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173 |
fun zip_axioms mid mcomp mcong smap bdco bdinf sbd le_rel_OO rel = |
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|
174 |
[mid, mcomp, mcong] @ smap @ [bdco, bdinf] @ sbd @ [le_rel_OO, rel]; |
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175 |
|
53289 | 176 |
fun dest_axioms {map_id0, map_comp0, map_cong0, set_map0, bd_card_order, bd_cinfinite, set_bd, |
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177 |
le_rel_OO, rel_OO_Grp} = |
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|
178 |
zip_axioms map_id0 map_comp0 map_cong0 set_map0 bd_card_order bd_cinfinite set_bd le_rel_OO |
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|
179 |
rel_OO_Grp; |
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|
180 |
|
53289 | 181 |
fun map_axioms f {map_id0, map_comp0, map_cong0, set_map0, bd_card_order, bd_cinfinite, set_bd, |
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|
182 |
le_rel_OO, rel_OO_Grp} = |
53270 | 183 |
{map_id0 = f map_id0, |
53287 | 184 |
map_comp0 = f map_comp0, |
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parents:
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diff
changeset
|
185 |
map_cong0 = f map_cong0, |
53289 | 186 |
set_map0 = map f set_map0, |
49463 | 187 |
bd_card_order = f bd_card_order, |
188 |
bd_cinfinite = f bd_cinfinite, |
|
189 |
set_bd = map f set_bd, |
|
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changeset
|
190 |
le_rel_OO = f le_rel_OO, |
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parents:
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diff
changeset
|
191 |
rel_OO_Grp = f rel_OO_Grp}; |
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|
192 |
|
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|
193 |
val morph_axioms = map_axioms o Morphism.thm; |
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|
194 |
|
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|
195 |
type defs = { |
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|
196 |
map_def: thm, |
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parents:
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changeset
|
197 |
set_defs: thm list, |
51893
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parents:
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changeset
|
198 |
rel_def: thm |
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|
199 |
} |
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|
200 |
|
51893
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parents:
51837
diff
changeset
|
201 |
fun mk_defs map sets rel = {map_def = map, set_defs = sets, rel_def = rel}; |
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changeset
|
202 |
|
51893
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parents:
51837
diff
changeset
|
203 |
fun map_defs f {map_def, set_defs, rel_def} = |
596baae88a88
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traytel
parents:
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diff
changeset
|
204 |
{map_def = f map_def, set_defs = map f set_defs, rel_def = f rel_def}; |
48975
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|
205 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
206 |
val morph_defs = map_defs o Morphism.thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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changeset
|
207 |
|
7f79f94a432c
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parents:
diff
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|
208 |
type facts = { |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
209 |
bd_Card_order: thm, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
210 |
bd_Cinfinite: thm, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
211 |
bd_Cnotzero: thm, |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
212 |
collect_set_map: thm lazy, |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
213 |
in_bd: thm lazy, |
48975
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parents:
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changeset
|
214 |
in_cong: thm lazy, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
215 |
in_mono: thm lazy, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
216 |
in_rel: thm lazy, |
53288 | 217 |
map_comp: thm lazy, |
51762 | 218 |
map_cong: thm lazy, |
53285 | 219 |
map_id: thm lazy, |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
220 |
map_transfer: thm lazy, |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49585
diff
changeset
|
221 |
rel_eq: thm lazy, |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
222 |
rel_flip: thm lazy, |
53290 | 223 |
set_map: thm lazy list, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
224 |
rel_cong: thm lazy, |
596baae88a88
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traytel
parents:
51837
diff
changeset
|
225 |
rel_mono: thm lazy, |
51916 | 226 |
rel_mono_strong: thm lazy, |
51893
596baae88a88
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traytel
parents:
51837
diff
changeset
|
227 |
rel_Grp: thm lazy, |
596baae88a88
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traytel
parents:
51837
diff
changeset
|
228 |
rel_conversep: thm lazy, |
596baae88a88
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parents:
51837
diff
changeset
|
229 |
rel_OO: thm lazy |
48975
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parents:
diff
changeset
|
230 |
}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
231 |
|
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
232 |
fun mk_facts bd_Card_order bd_Cinfinite bd_Cnotzero collect_set_map in_bd in_cong in_mono in_rel |
54841
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traytel
parents:
54740
diff
changeset
|
233 |
map_comp map_cong map_id map_transfer rel_eq rel_flip set_map rel_cong rel_mono |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
234 |
rel_mono_strong rel_Grp rel_conversep rel_OO = { |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
235 |
bd_Card_order = bd_Card_order, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
236 |
bd_Cinfinite = bd_Cinfinite, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
237 |
bd_Cnotzero = bd_Cnotzero, |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
238 |
collect_set_map = collect_set_map, |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
239 |
in_bd = in_bd, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
240 |
in_cong = in_cong, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
241 |
in_mono = in_mono, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
242 |
in_rel = in_rel, |
53288 | 243 |
map_comp = map_comp, |
51762 | 244 |
map_cong = map_cong, |
53285 | 245 |
map_id = map_id, |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
246 |
map_transfer = map_transfer, |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49585
diff
changeset
|
247 |
rel_eq = rel_eq, |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
248 |
rel_flip = rel_flip, |
53290 | 249 |
set_map = set_map, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
250 |
rel_cong = rel_cong, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
251 |
rel_mono = rel_mono, |
51916 | 252 |
rel_mono_strong = rel_mono_strong, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
253 |
rel_Grp = rel_Grp, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
254 |
rel_conversep = rel_conversep, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
255 |
rel_OO = rel_OO}; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
256 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
257 |
fun map_facts f { |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
258 |
bd_Card_order, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
259 |
bd_Cinfinite, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
260 |
bd_Cnotzero, |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
261 |
collect_set_map, |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
262 |
in_bd, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
263 |
in_cong, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
264 |
in_mono, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
265 |
in_rel, |
53288 | 266 |
map_comp, |
51762 | 267 |
map_cong, |
53285 | 268 |
map_id, |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
269 |
map_transfer, |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49585
diff
changeset
|
270 |
rel_eq, |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
271 |
rel_flip, |
53290 | 272 |
set_map, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
273 |
rel_cong, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
274 |
rel_mono, |
51916 | 275 |
rel_mono_strong, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
276 |
rel_Grp, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
277 |
rel_conversep, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
278 |
rel_OO} = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
279 |
{bd_Card_order = f bd_Card_order, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
280 |
bd_Cinfinite = f bd_Cinfinite, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
bd_Cnotzero = f bd_Cnotzero, |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
282 |
collect_set_map = Lazy.map f collect_set_map, |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
283 |
in_bd = Lazy.map f in_bd, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
284 |
in_cong = Lazy.map f in_cong, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
285 |
in_mono = Lazy.map f in_mono, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
286 |
in_rel = Lazy.map f in_rel, |
53288 | 287 |
map_comp = Lazy.map f map_comp, |
51762 | 288 |
map_cong = Lazy.map f map_cong, |
53285 | 289 |
map_id = Lazy.map f map_id, |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
290 |
map_transfer = Lazy.map f map_transfer, |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49585
diff
changeset
|
291 |
rel_eq = Lazy.map f rel_eq, |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
292 |
rel_flip = Lazy.map f rel_flip, |
53290 | 293 |
set_map = map (Lazy.map f) set_map, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
294 |
rel_cong = Lazy.map f rel_cong, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
295 |
rel_mono = Lazy.map f rel_mono, |
51916 | 296 |
rel_mono_strong = Lazy.map f rel_mono_strong, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
297 |
rel_Grp = Lazy.map f rel_Grp, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
298 |
rel_conversep = Lazy.map f rel_conversep, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
299 |
rel_OO = Lazy.map f rel_OO}; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
300 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
val morph_facts = map_facts o Morphism.thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
302 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
303 |
type nonemptiness_witness = { |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
304 |
I: int list, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
wit: term, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
306 |
prop: thm list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
307 |
}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
308 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
309 |
fun mk_witness (I, wit) prop = {I = I, wit = wit, prop = prop}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
fun map_witness f g {I, wit, prop} = {I = I, wit = f wit, prop = map g prop}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
311 |
fun morph_witness phi = map_witness (Morphism.term phi) (Morphism.thm phi); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
|
51837
087498724486
lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
blanchet
parents:
51836
diff
changeset
|
313 |
datatype bnf = BNF of { |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
314 |
name: binding, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
315 |
T: typ, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
316 |
live: int, |
53261 | 317 |
lives: typ list, (*source type variables of map*) |
318 |
lives': typ list, (*target type variables of map*) |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
dead: int, |
53261 | 320 |
deads: typ list, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
321 |
map: term, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
322 |
sets: term list, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
323 |
bd: term, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
324 |
axioms: axioms, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
325 |
defs: defs, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
326 |
facts: facts, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
327 |
nwits: int, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
328 |
wits: nonemptiness_witness list, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
329 |
rel: term |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
330 |
}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
331 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
332 |
(* getters *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
333 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
334 |
fun rep_bnf (BNF bnf) = bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
335 |
val name_of_bnf = #name o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
336 |
val T_of_bnf = #T o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
337 |
fun mk_T_of_bnf Ds Ts bnf = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
338 |
let val bnf_rep = rep_bnf bnf |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
339 |
in Term.typ_subst_atomic ((#deads bnf_rep ~~ Ds) @ (#lives bnf_rep ~~ Ts)) (#T bnf_rep) end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
340 |
val live_of_bnf = #live o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
341 |
val lives_of_bnf = #lives o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
342 |
val dead_of_bnf = #dead o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
343 |
val deads_of_bnf = #deads o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
344 |
val axioms_of_bnf = #axioms o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
345 |
val facts_of_bnf = #facts o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
346 |
val nwits_of_bnf = #nwits o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
347 |
val wits_of_bnf = #wits o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
348 |
|
53031 | 349 |
fun flatten_type_args_of_bnf bnf dead_x xs = |
350 |
let |
|
351 |
val Type (_, Ts) = T_of_bnf bnf; |
|
352 |
val lives = lives_of_bnf bnf; |
|
353 |
val deads = deads_of_bnf bnf; |
|
354 |
in |
|
53040 | 355 |
permute_like (op =) (deads @ lives) Ts (replicate (length deads) dead_x @ xs) |
53031 | 356 |
end; |
357 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
(*terms*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
359 |
val map_of_bnf = #map o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
360 |
val sets_of_bnf = #sets o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
361 |
fun mk_map_of_bnf Ds Ts Us bnf = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
362 |
let val bnf_rep = rep_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
363 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
364 |
Term.subst_atomic_types |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
365 |
((#deads bnf_rep ~~ Ds) @ (#lives bnf_rep ~~ Ts) @ (#lives' bnf_rep ~~ Us)) (#map bnf_rep) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
366 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
367 |
fun mk_sets_of_bnf Dss Tss bnf = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
let val bnf_rep = rep_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
369 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
370 |
map2 (fn (Ds, Ts) => Term.subst_atomic_types |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
371 |
((#deads bnf_rep ~~ Ds) @ (#lives bnf_rep ~~ Ts))) (Dss ~~ Tss) (#sets bnf_rep) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
372 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
373 |
val bd_of_bnf = #bd o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
fun mk_bd_of_bnf Ds Ts bnf = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
375 |
let val bnf_rep = rep_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
376 |
in Term.subst_atomic_types ((#deads bnf_rep ~~ Ds) @ (#lives bnf_rep ~~ Ts)) (#bd bnf_rep) end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
fun mk_wits_of_bnf Dss Tss bnf = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
378 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
val bnf_rep = rep_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
val wits = map (fn x => (#I x, #wit x)) (#wits bnf_rep); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
381 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
382 |
map2 (fn (Ds, Ts) => apsnd (Term.subst_atomic_types |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
383 |
((#deads bnf_rep ~~ Ds) @ (#lives bnf_rep ~~ Ts)))) (Dss ~~ Tss) wits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
end; |
49507 | 385 |
val rel_of_bnf = #rel o rep_bnf; |
386 |
fun mk_rel_of_bnf Ds Ts Us bnf = |
|
49462 | 387 |
let val bnf_rep = rep_bnf bnf; |
388 |
in |
|
389 |
Term.subst_atomic_types |
|
49507 | 390 |
((#deads bnf_rep ~~ Ds) @ (#lives bnf_rep ~~ Ts) @ (#lives' bnf_rep ~~ Us)) (#rel bnf_rep) |
49462 | 391 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
392 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
393 |
(*thms*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
394 |
val bd_card_order_of_bnf = #bd_card_order o #axioms o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
val bd_cinfinite_of_bnf = #bd_cinfinite o #axioms o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
396 |
val bd_Card_order_of_bnf = #bd_Card_order o #facts o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
397 |
val bd_Cinfinite_of_bnf = #bd_Cinfinite o #facts o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
398 |
val bd_Cnotzero_of_bnf = #bd_Cnotzero o #facts o rep_bnf; |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
399 |
val collect_set_map_of_bnf = Lazy.force o #collect_set_map o #facts o rep_bnf; |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
400 |
val in_bd_of_bnf = Lazy.force o #in_bd o #facts o rep_bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
401 |
val in_cong_of_bnf = Lazy.force o #in_cong o #facts o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
402 |
val in_mono_of_bnf = Lazy.force o #in_mono o #facts o rep_bnf; |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
403 |
val in_rel_of_bnf = Lazy.force o #in_rel o #facts o rep_bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
404 |
val map_def_of_bnf = #map_def o #defs o rep_bnf; |
53270 | 405 |
val map_id0_of_bnf = #map_id0 o #axioms o rep_bnf; |
53285 | 406 |
val map_id_of_bnf = Lazy.force o #map_id o #facts o rep_bnf; |
53287 | 407 |
val map_comp0_of_bnf = #map_comp0 o #axioms o rep_bnf; |
53288 | 408 |
val map_comp_of_bnf = Lazy.force o #map_comp o #facts o rep_bnf; |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
409 |
val map_cong0_of_bnf = #map_cong0 o #axioms o rep_bnf; |
51762 | 410 |
val map_cong_of_bnf = Lazy.force o #map_cong o #facts o rep_bnf; |
52731 | 411 |
val map_transfer_of_bnf = Lazy.force o #map_transfer o #facts o rep_bnf; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
412 |
val le_rel_OO_of_bnf = #le_rel_OO o #axioms o rep_bnf; |
49507 | 413 |
val rel_def_of_bnf = #rel_def o #defs o rep_bnf; |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49585
diff
changeset
|
414 |
val rel_eq_of_bnf = Lazy.force o #rel_eq o #facts o rep_bnf; |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
415 |
val rel_flip_of_bnf = Lazy.force o #rel_flip o #facts o rep_bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
416 |
val set_bd_of_bnf = #set_bd o #axioms o rep_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
417 |
val set_defs_of_bnf = #set_defs o #defs o rep_bnf; |
53289 | 418 |
val set_map0_of_bnf = #set_map0 o #axioms o rep_bnf; |
53290 | 419 |
val set_map_of_bnf = map Lazy.force o #set_map o #facts o rep_bnf; |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
420 |
val rel_cong_of_bnf = Lazy.force o #rel_cong o #facts o rep_bnf; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
421 |
val rel_mono_of_bnf = Lazy.force o #rel_mono o #facts o rep_bnf; |
51916 | 422 |
val rel_mono_strong_of_bnf = Lazy.force o #rel_mono_strong o #facts o rep_bnf; |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
423 |
val rel_Grp_of_bnf = Lazy.force o #rel_Grp o #facts o rep_bnf; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
424 |
val rel_conversep_of_bnf = Lazy.force o #rel_conversep o #facts o rep_bnf; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
425 |
val rel_OO_of_bnf = Lazy.force o #rel_OO o #facts o rep_bnf; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
426 |
val rel_OO_Grp_of_bnf = #rel_OO_Grp o #axioms o rep_bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
427 |
val wit_thms_of_bnf = maps #prop o wits_of_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
428 |
val wit_thmss_of_bnf = map #prop o wits_of_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
429 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
430 |
fun mk_bnf name T live lives lives' dead deads map sets bd axioms defs facts wits rel = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
431 |
BNF {name = name, T = T, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
432 |
live = live, lives = lives, lives' = lives', dead = dead, deads = deads, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
433 |
map = map, sets = sets, bd = bd, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
434 |
axioms = axioms, defs = defs, facts = facts, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
435 |
nwits = length wits, wits = wits, rel = rel}; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
436 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
437 |
fun morph_bnf phi (BNF {name = name, T = T, live = live, lives = lives, lives' = lives', |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
438 |
dead = dead, deads = deads, map = map, sets = sets, bd = bd, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
439 |
axioms = axioms, defs = defs, facts = facts, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
440 |
nwits = nwits, wits = wits, rel = rel}) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
441 |
BNF {name = Morphism.binding phi name, T = Morphism.typ phi T, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
442 |
live = live, lives = List.map (Morphism.typ phi) lives, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
443 |
lives' = List.map (Morphism.typ phi) lives', |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
444 |
dead = dead, deads = List.map (Morphism.typ phi) deads, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
445 |
map = Morphism.term phi map, sets = List.map (Morphism.term phi) sets, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
446 |
bd = Morphism.term phi bd, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
447 |
axioms = morph_axioms phi axioms, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
448 |
defs = morph_defs phi defs, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
449 |
facts = morph_facts phi facts, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
450 |
nwits = nwits, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
451 |
wits = List.map (morph_witness phi) wits, |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
452 |
rel = Morphism.term phi rel}; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
453 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
454 |
structure Data = Generic_Data |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
455 |
( |
51837
087498724486
lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
blanchet
parents:
51836
diff
changeset
|
456 |
type T = bnf Symtab.table; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
457 |
val empty = Symtab.empty; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
458 |
val extend = I; |
55394
d5ebe055b599
more liberal merging of BNFs and constructor sugar
blanchet
parents:
55356
diff
changeset
|
459 |
fun merge data : T = Symtab.merge (K true) data; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
460 |
); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
461 |
|
53126
f4d2c64c7aa8
transfer stored fp_sugar theorems into the "current" theory when retrieving an fp_sugar (avoids non-trivial merges)
traytel
parents:
53040
diff
changeset
|
462 |
fun bnf_of ctxt = |
f4d2c64c7aa8
transfer stored fp_sugar theorems into the "current" theory when retrieving an fp_sugar (avoids non-trivial merges)
traytel
parents:
53040
diff
changeset
|
463 |
Symtab.lookup (Data.get (Context.Proof ctxt)) |
54740 | 464 |
#> Option.map (morph_bnf (Morphism.transfer_morphism (Proof_Context.theory_of ctxt))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
465 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
466 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
467 |
(* Utilities *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
468 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
469 |
fun normalize_set insts instA set = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
470 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
471 |
val (T, T') = dest_funT (fastype_of set); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
472 |
val A = fst (Term.dest_TVar (HOLogic.dest_setT T')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
473 |
val params = Term.add_tvar_namesT T []; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
474 |
in Term.subst_TVars ((A :: params) ~~ (instA :: insts)) set end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
475 |
|
49507 | 476 |
fun normalize_rel ctxt instTs instA instB rel = |
49462 | 477 |
let |
478 |
val thy = Proof_Context.theory_of ctxt; |
|
479 |
val tyenv = |
|
49507 | 480 |
Sign.typ_match thy (fastype_of rel, Library.foldr (op -->) (instTs, mk_pred2T instA instB)) |
49463 | 481 |
Vartab.empty; |
49507 | 482 |
in Envir.subst_term (tyenv, Vartab.empty) rel end |
49453 | 483 |
handle Type.TYPE_MATCH => error "Bad relator"; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
484 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
485 |
fun normalize_wit insts CA As wit = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
486 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
487 |
fun strip_param (Ts, T as Type (@{type_name fun}, [T1, T2])) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
488 |
if Type.raw_instance (CA, T) then (Ts, T) else strip_param (T1 :: Ts, T2) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
489 |
| strip_param x = x; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
490 |
val (Ts, T) = strip_param ([], fastype_of wit); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
491 |
val subst = Term.add_tvar_namesT T [] ~~ insts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
492 |
fun find y = find_index (fn x => x = y) As; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
493 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
494 |
(map (find o Term.typ_subst_TVars subst) (rev Ts), Term.subst_TVars subst wit) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
495 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
496 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
497 |
fun minimize_wits wits = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
498 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
499 |
fun minimize done [] = done |
49103 | 500 |
| minimize done ((I, wit) :: todo) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
501 |
if exists (fn (J, _) => subset (op =) (J, I)) (done @ todo) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
502 |
then minimize done todo |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
503 |
else minimize ((I, wit) :: done) todo; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
504 |
in minimize [] wits end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
505 |
|
54236 | 506 |
fun mk_map live Ts Us t = |
507 |
let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in |
|
508 |
Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t |
|
509 |
end; |
|
510 |
||
511 |
fun mk_rel live Ts Us t = |
|
512 |
let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in |
|
513 |
Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t |
|
514 |
end; |
|
515 |
||
54237
7cc6e286fe28
made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents:
54236
diff
changeset
|
516 |
fun build_map_or_rel mk const of_bnf dest ctxt build_simple = |
54236 | 517 |
let |
518 |
fun build (TU as (T, U)) = |
|
519 |
if T = U then |
|
520 |
const T |
|
521 |
else |
|
522 |
(case TU of |
|
523 |
(Type (s, Ts), Type (s', Us)) => |
|
524 |
if s = s' then |
|
525 |
let |
|
54237
7cc6e286fe28
made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents:
54236
diff
changeset
|
526 |
val bnf = the (bnf_of ctxt s); |
54236 | 527 |
val live = live_of_bnf bnf; |
528 |
val mapx = mk live Ts Us (of_bnf bnf); |
|
529 |
val TUs' = map dest (fst (strip_typeN live (fastype_of mapx))); |
|
530 |
in Term.list_comb (mapx, map build TUs') end |
|
531 |
else |
|
532 |
build_simple TU |
|
533 |
| _ => build_simple TU); |
|
534 |
in build end; |
|
535 |
||
536 |
val build_map = build_map_or_rel mk_map HOLogic.id_const map_of_bnf dest_funT; |
|
537 |
val build_rel = build_map_or_rel mk_rel HOLogic.eq_const rel_of_bnf dest_pred2T; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
538 |
|
54246
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
539 |
fun map_flattened_map_args ctxt s map_args fs = |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
540 |
let |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
541 |
val flat_fs = flatten_type_args_of_bnf (the (bnf_of ctxt s)) Term.dummy fs; |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
542 |
val flat_fs' = map_args flat_fs; |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
543 |
in |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
544 |
permute_like (op aconv) flat_fs fs flat_fs' |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
545 |
end; |
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54237
diff
changeset
|
546 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
547 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
548 |
(* Names *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
549 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
550 |
val mapN = "map"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
551 |
val setN = "set"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
552 |
fun mk_setN i = setN ^ nonzero_string_of_int i; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
553 |
val bdN = "bd"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
554 |
val witN = "wit"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
555 |
fun mk_witN i = witN ^ nonzero_string_of_int i; |
49507 | 556 |
val relN = "rel"; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
557 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
558 |
val bd_card_orderN = "bd_card_order"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
559 |
val bd_cinfiniteN = "bd_cinfinite"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
560 |
val bd_Card_orderN = "bd_Card_order"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
561 |
val bd_CinfiniteN = "bd_Cinfinite"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
562 |
val bd_CnotzeroN = "bd_Cnotzero"; |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
563 |
val collect_set_mapN = "collect_set_map"; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
564 |
val in_bdN = "in_bd"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
565 |
val in_monoN = "in_mono"; |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
566 |
val in_relN = "in_rel"; |
53270 | 567 |
val map_id0N = "map_id0"; |
53285 | 568 |
val map_idN = "map_id"; |
53287 | 569 |
val map_comp0N = "map_comp0"; |
53288 | 570 |
val map_compN = "map_comp"; |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
571 |
val map_cong0N = "map_cong0"; |
51762 | 572 |
val map_congN = "map_cong"; |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
573 |
val map_transferN = "map_transfer"; |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49585
diff
changeset
|
574 |
val rel_eqN = "rel_eq"; |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
575 |
val rel_flipN = "rel_flip"; |
53289 | 576 |
val set_map0N = "set_map0"; |
53290 | 577 |
val set_mapN = "set_map"; |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
578 |
val set_bdN = "set_bd"; |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
579 |
val rel_GrpN = "rel_Grp"; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
580 |
val rel_conversepN = "rel_conversep"; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
581 |
val rel_monoN = "rel_mono" |
51916 | 582 |
val rel_mono_strongN = "rel_mono_strong" |
54620 | 583 |
val rel_comppN = "rel_compp"; |
584 |
val rel_compp_GrpN = "rel_compp_Grp"; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
585 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
586 |
datatype const_policy = Dont_Inline | Hardly_Inline | Smart_Inline | Do_Inline; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
587 |
|
49538 | 588 |
datatype fact_policy = Dont_Note | Note_Some | Note_All; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
589 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
590 |
val bnf_note_all = Attrib.setup_config_bool @{binding bnf_note_all} (K false); |
53143
ba80154a1118
configuration option to control timing output for (co)datatypes
traytel
parents:
53126
diff
changeset
|
591 |
val bnf_timing = Attrib.setup_config_bool @{binding bnf_timing} (K false); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
592 |
|
49538 | 593 |
fun user_policy policy ctxt = if Config.get ctxt bnf_note_all then Note_All else policy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
594 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
595 |
val smart_max_inline_size = 25; (*FUDGE*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
596 |
|
54045
369a4a14583a
keep the qualification of bindings when noting bnf theorems
traytel
parents:
53561
diff
changeset
|
597 |
fun note_bnf_thms fact_policy qualify' bnf_b bnf = |
52720 | 598 |
let |
599 |
val axioms = axioms_of_bnf bnf; |
|
600 |
val facts = facts_of_bnf bnf; |
|
601 |
val wits = wits_of_bnf bnf; |
|
54045
369a4a14583a
keep the qualification of bindings when noting bnf theorems
traytel
parents:
53561
diff
changeset
|
602 |
val qualify = |
369a4a14583a
keep the qualification of bindings when noting bnf theorems
traytel
parents:
53561
diff
changeset
|
603 |
let val (_, qs, _) = Binding.dest bnf_b; |
369a4a14583a
keep the qualification of bindings when noting bnf theorems
traytel
parents:
53561
diff
changeset
|
604 |
in fold_rev (fn (s, mand) => Binding.qualify mand s) qs #> qualify' end; |
52720 | 605 |
in |
606 |
(if fact_policy = Note_All then |
|
607 |
let |
|
608 |
val witNs = if length wits = 1 then [witN] else map mk_witN (1 upto length wits); |
|
609 |
val notes = |
|
610 |
[(bd_card_orderN, [#bd_card_order axioms]), |
|
611 |
(bd_cinfiniteN, [#bd_cinfinite axioms]), |
|
612 |
(bd_Card_orderN, [#bd_Card_order facts]), |
|
613 |
(bd_CinfiniteN, [#bd_Cinfinite facts]), |
|
614 |
(bd_CnotzeroN, [#bd_Cnotzero facts]), |
|
615 |
(collect_set_mapN, [Lazy.force (#collect_set_map facts)]), |
|
616 |
(in_bdN, [Lazy.force (#in_bd facts)]), |
|
617 |
(in_monoN, [Lazy.force (#in_mono facts)]), |
|
618 |
(in_relN, [Lazy.force (#in_rel facts)]), |
|
53287 | 619 |
(map_comp0N, [#map_comp0 axioms]), |
53270 | 620 |
(map_id0N, [#map_id0 axioms]), |
52720 | 621 |
(map_transferN, [Lazy.force (#map_transfer facts)]), |
622 |
(rel_mono_strongN, [Lazy.force (#rel_mono_strong facts)]), |
|
53289 | 623 |
(set_map0N, #set_map0 axioms), |
52720 | 624 |
(set_bdN, #set_bd axioms)] @ |
625 |
(witNs ~~ wit_thmss_of_bnf bnf) |
|
626 |
|> map (fn (thmN, thms) => |
|
53265 | 627 |
((qualify (Binding.qualify true (Binding.name_of bnf_b) (Binding.name thmN)), []), |
52720 | 628 |
[(thms, [])])); |
629 |
in |
|
630 |
Local_Theory.notes notes #> snd |
|
631 |
end |
|
632 |
else |
|
633 |
I) |
|
634 |
#> (if fact_policy <> Dont_Note then |
|
635 |
let |
|
636 |
val notes = |
|
53288 | 637 |
[(map_compN, [Lazy.force (#map_comp facts)], []), |
52720 | 638 |
(map_cong0N, [#map_cong0 axioms], []), |
54624
36301c99ed26
revert making 'map_cong' a 'cong' -- it breaks too many proofs in the AFP
blanchet
parents:
54620
diff
changeset
|
639 |
(map_congN, [Lazy.force (#map_cong facts)], fundefcong_attrs), |
53285 | 640 |
(map_idN, [Lazy.force (#map_id facts)], []), |
54620 | 641 |
(rel_comppN, [Lazy.force (#rel_OO facts)], []), |
642 |
(rel_compp_GrpN, no_refl [#rel_OO_Grp axioms], []), |
|
643 |
(rel_conversepN, [Lazy.force (#rel_conversep facts)], []), |
|
52720 | 644 |
(rel_eqN, [Lazy.force (#rel_eq facts)], []), |
645 |
(rel_flipN, [Lazy.force (#rel_flip facts)], []), |
|
646 |
(rel_GrpN, [Lazy.force (#rel_Grp facts)], []), |
|
647 |
(rel_monoN, [Lazy.force (#rel_mono facts)], []), |
|
54620 | 648 |
(set_mapN, map Lazy.force (#set_map facts), [])] |
52720 | 649 |
|> filter_out (null o #2) |
650 |
|> map (fn (thmN, thms, attrs) => |
|
53265 | 651 |
((qualify (Binding.qualify true (Binding.name_of bnf_b) (Binding.name thmN)), |
52720 | 652 |
attrs), [(thms, [])])); |
653 |
in |
|
654 |
Local_Theory.notes notes #> snd |
|
655 |
end |
|
656 |
else |
|
657 |
I) |
|
658 |
end; |
|
659 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
660 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
661 |
(* Define new BNFs *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
662 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
663 |
fun define_bnf_consts const_policy fact_policy Ds_opt map_b rel_b set_bs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
664 |
((((((bnf_b, T_rhs), map_rhs), set_rhss), bd_rhs), wit_rhss), rel_rhs_opt) no_defs_lthy = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
665 |
let |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
666 |
val live = length set_rhss; |
53265 | 667 |
|
54156 | 668 |
val def_qualify = Binding.conceal o Binding.qualify false (Binding.name_of bnf_b); |
53265 | 669 |
|
54490
930409d43211
use suffix '_list' etc. instead of prefix 'list_' for constants not present in the old package
blanchet
parents:
54426
diff
changeset
|
670 |
fun mk_prefix_binding pre = Binding.prefix_name (pre ^ "_") bnf_b; |
49434
433dc7e028c8
separated registration of BNFs from bnf_def (BNFs are now stored only for bnf_def and (co)data commands)
traytel
parents:
49430
diff
changeset
|
671 |
|
49463 | 672 |
fun maybe_define user_specified (b, rhs) lthy = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
673 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
674 |
val inline = |
49538 | 675 |
(user_specified orelse fact_policy = Dont_Note) andalso |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
676 |
(case const_policy of |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
677 |
Dont_Inline => false |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
678 |
| Hardly_Inline => Term.is_Free rhs orelse Term.is_Const rhs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
679 |
| Smart_Inline => Term.size_of_term rhs <= smart_max_inline_size |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
680 |
| Do_Inline => true) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
681 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
682 |
if inline then |
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
683 |
((rhs, Drule.reflexive_thm), lthy) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
684 |
else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
685 |
let val b = b () in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
686 |
apfst (apsnd snd) (Local_Theory.define ((b, NoSyn), ((Thm.def_binding b, []), rhs)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
687 |
lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
688 |
end |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
689 |
end; |
49459 | 690 |
|
691 |
fun maybe_restore lthy_old lthy = |
|
692 |
lthy |> not (pointer_eq (lthy_old, lthy)) ? Local_Theory.restore; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
693 |
|
51758 | 694 |
val map_bind_def = |
54490
930409d43211
use suffix '_list' etc. instead of prefix 'list_' for constants not present in the old package
blanchet
parents:
54426
diff
changeset
|
695 |
(fn () => def_qualify (if Binding.is_empty map_b then mk_prefix_binding mapN else map_b), |
53265 | 696 |
map_rhs); |
49459 | 697 |
val set_binds_defs = |
698 |
let |
|
51757 | 699 |
fun set_name i get_b = |
700 |
(case try (nth set_bs) (i - 1) of |
|
701 |
SOME b => if Binding.is_empty b then get_b else K b |
|
53265 | 702 |
| NONE => get_b) #> def_qualify; |
54490
930409d43211
use suffix '_list' etc. instead of prefix 'list_' for constants not present in the old package
blanchet
parents:
54426
diff
changeset
|
703 |
val bs = if live = 1 then [set_name 1 (fn () => mk_prefix_binding setN)] |
930409d43211
use suffix '_list' etc. instead of prefix 'list_' for constants not present in the old package
blanchet
parents:
54426
diff
changeset
|
704 |
else map (fn i => set_name i (fn () => mk_prefix_binding (mk_setN i))) (1 upto live); |
51757 | 705 |
in bs ~~ set_rhss end; |
54490
930409d43211
use suffix '_list' etc. instead of prefix 'list_' for constants not present in the old package
blanchet
parents:
54426
diff
changeset
|
706 |
val bd_bind_def = (fn () => def_qualify (mk_prefix_binding bdN), bd_rhs); |
49459 | 707 |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
708 |
val ((((bnf_map_term, raw_map_def), |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
709 |
(bnf_set_terms, raw_set_defs)), |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
710 |
(bnf_bd_term, raw_bd_def)), (lthy, lthy_old)) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
711 |
no_defs_lthy |
49463 | 712 |
|> maybe_define true map_bind_def |
713 |
||>> apfst split_list o fold_map (maybe_define true) set_binds_defs |
|
714 |
||>> maybe_define true bd_bind_def |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
715 |
||> `(maybe_restore no_defs_lthy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
716 |
|
49459 | 717 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
718 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
719 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
720 |
val bnf_map_def = Morphism.thm phi raw_map_def; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
721 |
val bnf_set_defs = map (Morphism.thm phi) raw_set_defs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
722 |
val bnf_bd_def = Morphism.thm phi raw_bd_def; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
723 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
724 |
val bnf_map = Morphism.term phi bnf_map_term; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
725 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
726 |
(*TODO: handle errors*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
727 |
(*simple shape analysis of a map function*) |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
728 |
val ((alphas, betas), (Calpha, _)) = |
49395
323414474c1f
use strip_typeN in bnf_def (instead of repairing strip_type)
traytel
parents:
49386
diff
changeset
|
729 |
fastype_of bnf_map |
323414474c1f
use strip_typeN in bnf_def (instead of repairing strip_type)
traytel
parents:
49386
diff
changeset
|
730 |
|> strip_typeN live |
323414474c1f
use strip_typeN in bnf_def (instead of repairing strip_type)
traytel
parents:
49386
diff
changeset
|
731 |
|>> map_split dest_funT |
323414474c1f
use strip_typeN in bnf_def (instead of repairing strip_type)
traytel
parents:
49386
diff
changeset
|
732 |
||> dest_funT |
323414474c1f
use strip_typeN in bnf_def (instead of repairing strip_type)
traytel
parents:
49386
diff
changeset
|
733 |
handle TYPE _ => error "Bad map function"; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
734 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
735 |
val Calpha_params = map TVar (Term.add_tvarsT Calpha []); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
736 |
|
54426
edb87aac9cca
prohibit locally fixed type variables in bnf definitions
traytel
parents:
54425
diff
changeset
|
737 |
val bnf_T = Morphism.typ phi T_rhs; |
edb87aac9cca
prohibit locally fixed type variables in bnf definitions
traytel
parents:
54425
diff
changeset
|
738 |
val bad_args = Term.add_tfreesT bnf_T []; |
edb87aac9cca
prohibit locally fixed type variables in bnf definitions
traytel
parents:
54425
diff
changeset
|
739 |
val _ = if null bad_args then () else error ("Locally fixed type arguments " ^ |
edb87aac9cca
prohibit locally fixed type variables in bnf definitions
traytel
parents:
54425
diff
changeset
|
740 |
commas_quote (map (Syntax.string_of_typ no_defs_lthy o TFree) bad_args)); |
edb87aac9cca
prohibit locally fixed type variables in bnf definitions
traytel
parents:
54425
diff
changeset
|
741 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
742 |
val bnf_sets = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
743 |
map2 (normalize_set Calpha_params) alphas (map (Morphism.term phi) bnf_set_terms); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
744 |
val bnf_bd = |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
745 |
Term.subst_TVars (Term.add_tvar_namesT bnf_T [] ~~ Calpha_params) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
746 |
(Morphism.term phi bnf_bd_term); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
747 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
748 |
(*TODO: assert Ds = (TVars of bnf_map) \ (alphas @ betas) as sets*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
749 |
val deads = (case Ds_opt of |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
750 |
NONE => subtract (op =) (alphas @ betas) (map TVar (Term.add_tvars bnf_map [])) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
751 |
| SOME Ds => map (Morphism.typ phi) Ds); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
752 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
753 |
(*TODO: further checks of type of bnf_map*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
754 |
(*TODO: check types of bnf_sets*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
755 |
(*TODO: check type of bnf_bd*) |
49507 | 756 |
(*TODO: check type of bnf_rel*) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
757 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
758 |
fun mk_bnf_map Ds As' Bs' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
759 |
Term.subst_atomic_types ((deads ~~ Ds) @ (alphas ~~ As') @ (betas ~~ Bs')) bnf_map; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
760 |
fun mk_bnf_t Ds As' = Term.subst_atomic_types ((deads ~~ Ds) @ (alphas ~~ As')); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
761 |
fun mk_bnf_T Ds As' = Term.typ_subst_atomic ((deads ~~ Ds) @ (alphas ~~ As')); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
762 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
763 |
val (((As, Bs), Ds), names_lthy) = lthy |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
764 |
|> mk_TFrees live |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
765 |
||>> mk_TFrees live |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
766 |
||>> mk_TFrees (length deads); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
767 |
val RTs = map2 (curry HOLogic.mk_prodT) As Bs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
768 |
val pred2RTs = map2 mk_pred2T As Bs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
769 |
val (Rs, Rs') = names_lthy |> mk_Frees' "R" pred2RTs |> fst |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
770 |
val CA = mk_bnf_T Ds As Calpha; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
771 |
val CR = mk_bnf_T Ds RTs Calpha; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
772 |
val setRs = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
773 |
map3 (fn R => fn T => fn U => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
774 |
HOLogic.Collect_const (HOLogic.mk_prodT (T, U)) $ HOLogic.mk_split R) Rs As Bs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
775 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
776 |
(*Grp (in (Collect (split R1) .. Collect (split Rn))) (map fst .. fst)^--1 OO |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
777 |
Grp (in (Collect (split R1) .. Collect (split Rn))) (map snd .. snd)*) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
778 |
val OO_Grp = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
779 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
780 |
val map1 = Term.list_comb (mk_bnf_map Ds RTs As, map fst_const RTs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
781 |
val map2 = Term.list_comb (mk_bnf_map Ds RTs Bs, map snd_const RTs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
782 |
val bnf_in = mk_in setRs (map (mk_bnf_t Ds RTs) bnf_sets) CR; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
783 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
784 |
mk_rel_compp (mk_conversep (mk_Grp bnf_in map1), mk_Grp bnf_in map2) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
785 |
|> fold_rev Term.absfree Rs' |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
786 |
end; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
787 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
788 |
val rel_rhs = the_default OO_Grp rel_rhs_opt; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
789 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
790 |
val rel_bind_def = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
791 |
(fn () => def_qualify (if Binding.is_empty rel_b then mk_prefix_binding relN else rel_b), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
792 |
rel_rhs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
793 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
794 |
val wit_rhss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
795 |
if null wit_rhss then |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
796 |
[fold_rev Term.absdummy As (Term.list_comb (mk_bnf_map Ds As As, |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
797 |
map2 (fn T => fn i => Term.absdummy T (Bound i)) As (live downto 1)) $ |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
798 |
Const (@{const_name undefined}, CA))] |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
799 |
else wit_rhss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
800 |
val nwits = length wit_rhss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
801 |
val wit_binds_defs = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
802 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
803 |
val bs = if nwits = 1 then [fn () => def_qualify (mk_prefix_binding witN)] |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
804 |
else map (fn i => fn () => def_qualify (mk_prefix_binding (mk_witN i))) (1 upto nwits); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
805 |
in bs ~~ wit_rhss end; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
806 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
807 |
val (((bnf_rel_term, raw_rel_def), (bnf_wit_terms, raw_wit_defs)), (lthy, lthy_old)) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
808 |
lthy |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
809 |
|> maybe_define (is_some rel_rhs_opt) rel_bind_def |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
810 |
||>> apfst split_list o fold_map (maybe_define (not (null wit_rhss))) wit_binds_defs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
811 |
||> `(maybe_restore lthy); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
812 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
813 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
814 |
val bnf_rel_def = Morphism.thm phi raw_rel_def; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
815 |
val bnf_rel = Morphism.term phi bnf_rel_term; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
816 |
fun mk_bnf_rel Ds As' Bs' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
817 |
normalize_rel lthy (map2 mk_pred2T As' Bs') (mk_bnf_T Ds As' Calpha) (mk_bnf_T Ds Bs' Calpha) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
818 |
bnf_rel; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
819 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
820 |
val bnf_wit_defs = map (Morphism.thm phi) raw_wit_defs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
821 |
val bnf_wits = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
822 |
map (normalize_wit Calpha_params Calpha alphas o Morphism.term phi) bnf_wit_terms; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
823 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
824 |
fun mk_OO_Grp Ds' As' Bs' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
825 |
Term.subst_atomic_types ((Ds ~~ Ds') @ (As ~~ As') @ (Bs ~~ Bs')) OO_Grp; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
826 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
827 |
(((alphas, betas, deads, Calpha), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
828 |
(bnf_map, bnf_sets, bnf_bd, bnf_wits, bnf_rel), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
829 |
(bnf_map_def, bnf_set_defs, bnf_bd_def, bnf_wit_defs, bnf_rel_def), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
830 |
(mk_bnf_map, mk_bnf_t, mk_bnf_T, mk_bnf_rel, mk_OO_Grp)), lthy) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
831 |
end; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
832 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
833 |
fun prepare_def const_policy mk_fact_policy qualify prep_typ prep_term Ds_opt map_b rel_b set_bs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
834 |
((((((raw_bnf_b, raw_bnf_T), raw_map), raw_sets), raw_bd), raw_wits), raw_rel_opt) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
835 |
no_defs_lthy = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
836 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
837 |
val fact_policy = mk_fact_policy no_defs_lthy; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
838 |
val bnf_b = qualify raw_bnf_b; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
839 |
val live = length raw_sets; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
840 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
841 |
val T_rhs = prep_typ no_defs_lthy raw_bnf_T; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
842 |
val map_rhs = prep_term no_defs_lthy raw_map; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
843 |
val set_rhss = map (prep_term no_defs_lthy) raw_sets; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
844 |
val bd_rhs = prep_term no_defs_lthy raw_bd; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
845 |
val wit_rhss = map (prep_term no_defs_lthy) raw_wits; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
846 |
val rel_rhs_opt = Option.map (prep_term no_defs_lthy) raw_rel_opt; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
847 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
848 |
fun err T = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
849 |
error ("Trying to register the type " ^ quote (Syntax.string_of_typ no_defs_lthy T) ^ |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
850 |
" as unnamed BNF"); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
851 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
852 |
val (bnf_b, key) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
853 |
if Binding.eq_name (bnf_b, Binding.empty) then |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
854 |
(case T_rhs of |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
855 |
Type (C, Ts) => if forall (can dest_TFree) Ts |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
856 |
then (Binding.qualified_name C, C) else err T_rhs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
857 |
| T => err T) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
858 |
else (bnf_b, Local_Theory.full_name no_defs_lthy bnf_b); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
859 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
860 |
val (((alphas, betas, deads, Calpha), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
861 |
(bnf_map, bnf_sets, bnf_bd, bnf_wits, bnf_rel), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
862 |
(bnf_map_def, bnf_set_defs, bnf_bd_def, bnf_wit_defs, bnf_rel_def), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
863 |
(mk_bnf_map_Ds, mk_bnf_t_Ds, mk_bnf_T_Ds, _, mk_OO_Grp)), lthy) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
864 |
define_bnf_consts const_policy fact_policy Ds_opt map_b rel_b set_bs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
865 |
((((((bnf_b, T_rhs), map_rhs), set_rhss), bd_rhs), wit_rhss), rel_rhs_opt) no_defs_lthy; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
866 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
867 |
val dead = length deads; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
868 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
869 |
val ((((((As', Bs'), Cs), Ds), B1Ts), B2Ts), (Ts, T)) = lthy |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
870 |
|> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
871 |
||>> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
872 |
||>> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
873 |
||>> mk_TFrees dead |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
874 |
||>> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
875 |
||>> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
876 |
||> fst o mk_TFrees 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
877 |
||> the_single |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
878 |
||> `(replicate live); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
879 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
880 |
val mk_bnf_map = mk_bnf_map_Ds Ds; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
881 |
val mk_bnf_t = mk_bnf_t_Ds Ds; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
882 |
val mk_bnf_T = mk_bnf_T_Ds Ds; |
49453 | 883 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
884 |
val pred2RTs = map2 mk_pred2T As' Bs'; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
885 |
val pred2RTsAsCs = map2 mk_pred2T As' Cs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
886 |
val pred2RTsBsCs = map2 mk_pred2T Bs' Cs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
887 |
val pred2RT's = map2 mk_pred2T Bs' As'; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
888 |
val self_pred2RTs = map2 mk_pred2T As' As'; |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
889 |
val transfer_domRTs = map2 mk_pred2T As' B1Ts; |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
890 |
val transfer_ranRTs = map2 mk_pred2T Bs' B2Ts; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
891 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
892 |
val CA' = mk_bnf_T As' Calpha; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
893 |
val CB' = mk_bnf_T Bs' Calpha; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
894 |
val CC' = mk_bnf_T Cs Calpha; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
895 |
val CB1 = mk_bnf_T B1Ts Calpha; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
896 |
val CB2 = mk_bnf_T B2Ts Calpha; |
49453 | 897 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
898 |
val bnf_map_AsAs = mk_bnf_map As' As'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
899 |
val bnf_map_AsBs = mk_bnf_map As' Bs'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
900 |
val bnf_map_AsCs = mk_bnf_map As' Cs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
901 |
val bnf_map_BsCs = mk_bnf_map Bs' Cs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
902 |
val bnf_sets_As = map (mk_bnf_t As') bnf_sets; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
903 |
val bnf_sets_Bs = map (mk_bnf_t Bs') bnf_sets; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
904 |
val bnf_bd_As = mk_bnf_t As' bnf_bd; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
905 |
fun mk_bnf_rel RTs CA CB = normalize_rel lthy RTs CA CB bnf_rel; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
906 |
|
49595
e8c57e59cbf8
got rid of other instance of shaky "Thm.generalize"
blanchet
parents:
49594
diff
changeset
|
907 |
val pre_names_lthy = lthy; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
908 |
val (((((((((((((((fs, gs), hs), x), y), zs), ys), As), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
909 |
As_copy), bs), Rs), Rs_copy), Ss), |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
910 |
transfer_domRs), transfer_ranRs), names_lthy) = pre_names_lthy |
52923 | 911 |
|> mk_Frees "f" (map2 (curry op -->) As' Bs') |
912 |
||>> mk_Frees "g" (map2 (curry op -->) Bs' Cs) |
|
913 |
||>> mk_Frees "h" (map2 (curry op -->) As' Ts) |
|
51894 | 914 |
||>> yield_singleton (mk_Frees "x") CA' |
915 |
||>> yield_singleton (mk_Frees "y") CB' |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
916 |
||>> mk_Frees "z" As' |
51916 | 917 |
||>> mk_Frees "y" Bs' |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
918 |
||>> mk_Frees "A" (map HOLogic.mk_setT As') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
919 |
||>> mk_Frees "A" (map HOLogic.mk_setT As') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
920 |
||>> mk_Frees "b" As' |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
921 |
||>> mk_Frees "R" pred2RTs |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
922 |
||>> mk_Frees "R" pred2RTs |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
923 |
||>> mk_Frees "S" pred2RTsBsCs |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
924 |
||>> mk_Frees "R" transfer_domRTs |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
925 |
||>> mk_Frees "S" transfer_ranRTs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
926 |
|
51762 | 927 |
val fs_copy = map2 (retype_free o fastype_of) fs gs; |
928 |
val x_copy = retype_free CA' y; |
|
929 |
||
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
930 |
val rel = mk_bnf_rel pred2RTs CA' CB'; |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
931 |
val relAsAs = mk_bnf_rel self_pred2RTs CA' CA'; |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
932 |
val bnf_wit_As = map (apsnd (mk_bnf_t As')) bnf_wits; |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
933 |
|
53270 | 934 |
val map_id0_goal = |
51762 | 935 |
let val bnf_map_app_id = Term.list_comb (bnf_map_AsAs, map HOLogic.id_const As') in |
936 |
mk_Trueprop_eq (bnf_map_app_id, HOLogic.id_const CA') |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
937 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
938 |
|
53287 | 939 |
val map_comp0_goal = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
940 |
let |
49018 | 941 |
val bnf_map_app_comp = Term.list_comb (bnf_map_AsCs, map2 (curry HOLogic.mk_comp) gs fs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
942 |
val comp_bnf_map_app = HOLogic.mk_comp |
51762 | 943 |
(Term.list_comb (bnf_map_BsCs, gs), Term.list_comb (bnf_map_AsBs, fs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
944 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49111
diff
changeset
|
945 |
fold_rev Logic.all (fs @ gs) (mk_Trueprop_eq (bnf_map_app_comp, comp_bnf_map_app)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
946 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
947 |
|
51762 | 948 |
fun mk_map_cong_prem x z set f f_copy = |
949 |
Logic.all z (Logic.mk_implies |
|
950 |
(HOLogic.mk_Trueprop (HOLogic.mk_mem (z, set $ x)), |
|
951 |
mk_Trueprop_eq (f $ z, f_copy $ z))); |
|
952 |
||
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
953 |
val map_cong0_goal = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
954 |
let |
51762 | 955 |
val prems = map4 (mk_map_cong_prem x) zs bnf_sets_As fs fs_copy; |
956 |
val eq = mk_Trueprop_eq (Term.list_comb (bnf_map_AsBs, fs) $ x, |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
957 |
Term.list_comb (bnf_map_AsBs, fs_copy) $ x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
958 |
in |
51762 | 959 |
fold_rev Logic.all (x :: fs @ fs_copy) (Logic.list_implies (prems, eq)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
960 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
961 |
|
53289 | 962 |
val set_map0s_goal = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
963 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
964 |
fun mk_goal setA setB f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
965 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
966 |
val set_comp_map = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
967 |
HOLogic.mk_comp (setB, Term.list_comb (bnf_map_AsBs, fs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
968 |
val image_comp_set = HOLogic.mk_comp (mk_image f, setA); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
969 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49111
diff
changeset
|
970 |
fold_rev Logic.all fs (mk_Trueprop_eq (set_comp_map, image_comp_set)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
971 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
972 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
973 |
map3 mk_goal bnf_sets_As bnf_sets_Bs fs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
974 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
975 |
|
49458 | 976 |
val card_order_bd_goal = HOLogic.mk_Trueprop (mk_card_order bnf_bd_As); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
977 |
|
49458 | 978 |
val cinfinite_bd_goal = HOLogic.mk_Trueprop (mk_cinfinite bnf_bd_As); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
979 |
|
49458 | 980 |
val set_bds_goal = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
981 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
982 |
fun mk_goal set = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
983 |
Logic.all x (HOLogic.mk_Trueprop (mk_ordLeq (mk_card_of (set $ x)) bnf_bd_As)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
984 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
985 |
map mk_goal bnf_sets_As |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
986 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
987 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
988 |
val relAsCs = mk_bnf_rel pred2RTsAsCs CA' CC'; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
989 |
val relBsCs = mk_bnf_rel pred2RTsBsCs CB' CC'; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
990 |
val rel_OO_lhs = Term.list_comb (relAsCs, map2 (curry mk_rel_compp) Rs Ss); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
991 |
val rel_OO_rhs = mk_rel_compp (Term.list_comb (rel, Rs), Term.list_comb (relBsCs, Ss)); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
992 |
val le_rel_OO_goal = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
993 |
fold_rev Logic.all (Rs @ Ss) (HOLogic.mk_Trueprop (mk_leq rel_OO_rhs rel_OO_lhs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
994 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
995 |
val rel_OO_Grp_goal = fold_rev Logic.all Rs (mk_Trueprop_eq (Term.list_comb (rel, Rs), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
996 |
Term.list_comb (mk_OO_Grp Ds As' Bs', Rs))); |
49453 | 997 |
|
53289 | 998 |
val goals = zip_axioms map_id0_goal map_comp0_goal map_cong0_goal set_map0s_goal |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
999 |
card_order_bd_goal cinfinite_bd_goal set_bds_goal le_rel_OO_goal rel_OO_Grp_goal; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1000 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1001 |
fun mk_wit_goals (I, wit) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1002 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1003 |
val xs = map (nth bs) I; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1004 |
fun wit_goal i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1005 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1006 |
val z = nth zs i; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1007 |
val set_wit = nth bnf_sets_As i $ Term.list_comb (wit, xs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1008 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1009 |
(if member (op =) I i then HOLogic.mk_eq (z, nth bs i) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1010 |
else @{term False}); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1011 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1012 |
fold_rev Logic.all (z :: xs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1013 |
(Logic.mk_implies (HOLogic.mk_Trueprop (HOLogic.mk_mem (z, set_wit)), concl)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1014 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1015 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1016 |
map wit_goal (0 upto live - 1) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1017 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1018 |
|
55197 | 1019 |
fun triv_wit_tac ctxt = mk_trivial_wit_tac ctxt bnf_wit_defs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1020 |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1021 |
val wit_goalss = |
54921
862c36b6e57c
avoid schematic variable in goal, which sometimes gets instantiated by tactic
blanchet
parents:
54841
diff
changeset
|
1022 |
(if null raw_wits then SOME triv_wit_tac else NONE, map mk_wit_goals bnf_wit_As); |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1023 |
|
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1024 |
fun after_qed mk_wit_thms thms lthy = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1025 |
let |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1026 |
val (axioms, nontriv_wit_thms) = apfst (mk_axioms live) (chop (length goals) thms); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1027 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1028 |
val bd_Card_order = #bd_card_order axioms RS @{thm conjunct2[OF card_order_on_Card_order]}; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1029 |
val bd_Cinfinite = @{thm conjI} OF [#bd_cinfinite axioms, bd_Card_order]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1030 |
val bd_Cnotzero = bd_Cinfinite RS @{thm Cinfinite_Cnotzero}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1031 |
|
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
1032 |
fun mk_collect_set_map () = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1033 |
let |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1034 |
val defT = mk_bnf_T Ts Calpha --> HOLogic.mk_setT T; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1035 |
val collect_map = HOLogic.mk_comp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1036 |
(mk_collect (map (mk_bnf_t Ts) bnf_sets) defT, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1037 |
Term.list_comb (mk_bnf_map As' Ts, hs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1038 |
val image_collect = mk_collect |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1039 |
(map2 (fn h => fn set => HOLogic.mk_comp (mk_image h, set)) hs bnf_sets_As) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1040 |
defT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1041 |
(*collect {set1 ... setm} o map f1 ... fm = collect {f1` o set1 ... fm` o setm}*) |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49111
diff
changeset
|
1042 |
val goal = fold_rev Logic.all hs (mk_Trueprop_eq (collect_map, image_collect)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1043 |
in |
53289 | 1044 |
Goal.prove_sorry lthy [] [] goal (K (mk_collect_set_map_tac (#set_map0 axioms))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1045 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1046 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1047 |
|
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51765
diff
changeset
|
1048 |
val collect_set_map = Lazy.lazy mk_collect_set_map; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1049 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1050 |
fun mk_in_mono () = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1051 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1052 |
val prems_mono = map2 (HOLogic.mk_Trueprop oo mk_leq) As As_copy; |
49458 | 1053 |
val in_mono_goal = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1054 |
fold_rev Logic.all (As @ As_copy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1055 |
(Logic.list_implies (prems_mono, HOLogic.mk_Trueprop |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1056 |
(mk_leq (mk_in As bnf_sets_As CA') (mk_in As_copy bnf_sets_As CA')))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1057 |
in |
51551 | 1058 |
Goal.prove_sorry lthy [] [] in_mono_goal (K (mk_in_mono_tac live)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1059 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1060 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1061 |
|
49538 | 1062 |
val in_mono = Lazy.lazy mk_in_mono; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1063 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1064 |
fun mk_in_cong () = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1065 |
let |
51762 | 1066 |
val prems_cong = map2 (curry mk_Trueprop_eq) As As_copy; |
49458 | 1067 |
val in_cong_goal = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1068 |
fold_rev Logic.all (As @ As_copy) |
51762 | 1069 |
(Logic.list_implies (prems_cong, |
1070 |
mk_Trueprop_eq (mk_in As bnf_sets_As CA', mk_in As_copy bnf_sets_As CA'))); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1071 |
in |
51798 | 1072 |
Goal.prove_sorry lthy [] [] in_cong_goal |
1073 |
(K ((TRY o hyp_subst_tac lthy THEN' rtac refl) 1)) |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1074 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1075 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1076 |
|
49538 | 1077 |
val in_cong = Lazy.lazy mk_in_cong; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1078 |
|
53285 | 1079 |
val map_id = Lazy.lazy (fn () => mk_map_id (#map_id0 axioms)); |
53288 | 1080 |
val map_comp = Lazy.lazy (fn () => mk_map_comp (#map_comp0 axioms)); |
51762 | 1081 |
|
1082 |
fun mk_map_cong () = |
|
1083 |
let |
|
1084 |
val prem0 = mk_Trueprop_eq (x, x_copy); |
|
1085 |
val prems = map4 (mk_map_cong_prem x_copy) zs bnf_sets_As fs fs_copy; |
|
1086 |
val eq = mk_Trueprop_eq (Term.list_comb (bnf_map_AsBs, fs) $ x, |
|
1087 |
Term.list_comb (bnf_map_AsBs, fs_copy) $ x_copy); |
|
1088 |
val goal = fold_rev Logic.all (x :: x_copy :: fs @ fs_copy) |
|
1089 |
(Logic.list_implies (prem0 :: prems, eq)); |
|
1090 |
in |
|
51798 | 1091 |
Goal.prove_sorry lthy [] [] goal (fn _ => mk_map_cong_tac lthy (#map_cong0 axioms)) |
51762 | 1092 |
|> Thm.close_derivation |
1093 |
end; |
|
1094 |
||
1095 |
val map_cong = Lazy.lazy mk_map_cong; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1096 |
|
53290 | 1097 |
val set_map = map (fn thm => Lazy.lazy (fn () => mk_set_map thm)) (#set_map0 axioms); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1098 |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1099 |
val wit_thms = |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1100 |
if null nontriv_wit_thms then mk_wit_thms (map Lazy.force set_map) else nontriv_wit_thms; |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1101 |
|
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1102 |
fun mk_in_bd () = |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1103 |
let |
52813 | 1104 |
val bdT = fst (dest_relT (fastype_of bnf_bd_As)); |
1105 |
val bdTs = replicate live bdT; |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1106 |
val bd_bnfT = mk_bnf_T bdTs Calpha; |
52813 | 1107 |
val surj_imp_ordLeq_inst = (if live = 0 then TrueI else |
1108 |
let |
|
1109 |
val ranTs = map (fn AT => mk_sumT (AT, HOLogic.unitT)) As'; |
|
1110 |
val funTs = map (fn T => bdT --> T) ranTs; |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1111 |
val ran_bnfT = mk_bnf_T ranTs Calpha; |
52813 | 1112 |
val (revTs, Ts) = `rev (bd_bnfT :: funTs); |
1113 |
val cTs = map (SOME o certifyT lthy) [ran_bnfT, Library.foldr1 HOLogic.mk_prodT Ts]; |
|
1114 |
val tinst = fold (fn T => fn t => HOLogic.mk_split (Term.absdummy T t)) (tl revTs) |
|
1115 |
(Term.absdummy (hd revTs) (Term.list_comb (mk_bnf_map bdTs ranTs, |
|
1116 |
map Bound (live - 1 downto 0)) $ Bound live)); |
|
1117 |
val cts = [NONE, SOME (certify lthy tinst)]; |
|
1118 |
in |
|
1119 |
Drule.instantiate' cTs cts @{thm surj_imp_ordLeq} |
|
1120 |
end); |
|
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1121 |
val bd = mk_cexp |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1122 |
(if live = 0 then ctwo |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1123 |
else mk_csum (Library.foldr1 (uncurry mk_csum) (map mk_card_of As)) ctwo) |
52813 | 1124 |
(mk_csum bnf_bd_As (mk_card_of (HOLogic.mk_UNIV bd_bnfT))); |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1125 |
val in_bd_goal = |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1126 |
fold_rev Logic.all As |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1127 |
(HOLogic.mk_Trueprop (mk_ordLeq (mk_card_of (mk_in As bnf_sets_As CA')) bd)); |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1128 |
in |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1129 |
Goal.prove_sorry lthy [] [] in_bd_goal |
55197 | 1130 |
(fn {context = ctxt, prems = _} => mk_in_bd_tac ctxt live surj_imp_ordLeq_inst |
53288 | 1131 |
(Lazy.force map_comp) (Lazy.force map_id) (#map_cong0 axioms) |
53290 | 1132 |
(map Lazy.force set_map) (#set_bd axioms) (#bd_card_order axioms) |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1133 |
bd_Card_order bd_Cinfinite bd_Cnotzero) |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1134 |
|> Thm.close_derivation |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1135 |
end; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1136 |
|
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1137 |
val in_bd = Lazy.lazy mk_in_bd; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1138 |
|
53561 | 1139 |
val rel_OO_Grp = #rel_OO_Grp axioms; |
1140 |
val rel_OO_Grps = no_refl [rel_OO_Grp]; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1141 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1142 |
fun mk_rel_Grp () = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1143 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1144 |
val lhs = Term.list_comb (rel, map2 mk_Grp As fs); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1145 |
val rhs = mk_Grp (mk_in As bnf_sets_As CA') (Term.list_comb (bnf_map_AsBs, fs)); |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49111
diff
changeset
|
1146 |
val goal = fold_rev Logic.all (As @ fs) (mk_Trueprop_eq (lhs, rhs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1147 |
in |
51551 | 1148 |
Goal.prove_sorry lthy [] [] goal |
55197 | 1149 |
(fn {context = ctxt, prems = _} => mk_rel_Grp_tac ctxt rel_OO_Grps (#map_id0 axioms) |
1150 |
(#map_cong0 axioms) (Lazy.force map_id) (Lazy.force map_comp) |
|
1151 |
(map Lazy.force set_map)) |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1152 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1153 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1154 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1155 |
val rel_Grp = Lazy.lazy mk_rel_Grp; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1156 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1157 |
fun mk_rel_prems f = map2 (HOLogic.mk_Trueprop oo f) Rs Rs_copy |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1158 |
fun mk_rel_concl f = HOLogic.mk_Trueprop |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1159 |
(f (Term.list_comb (rel, Rs), Term.list_comb (rel, Rs_copy))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1160 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1161 |
fun mk_rel_mono () = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1162 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1163 |
val mono_prems = mk_rel_prems mk_leq; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1164 |
val mono_concl = mk_rel_concl (uncurry mk_leq); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1165 |
in |
51551 | 1166 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1167 |
(fold_rev Logic.all (Rs @ Rs_copy) (Logic.list_implies (mono_prems, mono_concl))) |
52844
66fa0f602cc4
more robust tactics (don't use unfolding when RHS might contain schematics not contained on the LHS)
traytel
parents:
52813
diff
changeset
|
1168 |
(K (mk_rel_mono_tac rel_OO_Grps (Lazy.force in_mono))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1169 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1170 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1171 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1172 |
fun mk_rel_cong () = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1173 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1174 |
val cong_prems = mk_rel_prems (curry HOLogic.mk_eq); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1175 |
val cong_concl = mk_rel_concl HOLogic.mk_eq; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1176 |
in |
51551 | 1177 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1178 |
(fold_rev Logic.all (Rs @ Rs_copy) (Logic.list_implies (cong_prems, cong_concl))) |
51798 | 1179 |
(fn _ => (TRY o hyp_subst_tac lthy THEN' rtac refl) 1) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1180 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1181 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1182 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1183 |
val rel_mono = Lazy.lazy mk_rel_mono; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1184 |
val rel_cong = Lazy.lazy mk_rel_cong; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1185 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1186 |
fun mk_rel_eq () = |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1187 |
Goal.prove_sorry lthy [] [] |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1188 |
(mk_Trueprop_eq (Term.list_comb (relAsAs, map HOLogic.eq_const As'), |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1189 |
HOLogic.eq_const CA')) |
53270 | 1190 |
(K (mk_rel_eq_tac live (Lazy.force rel_Grp) (Lazy.force rel_cong) (#map_id0 axioms))) |
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1191 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1192 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1193 |
val rel_eq = Lazy.lazy mk_rel_eq; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1194 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1195 |
fun mk_rel_conversep () = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1196 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1197 |
val relBsAs = mk_bnf_rel pred2RT's CB' CA'; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1198 |
val lhs = Term.list_comb (relBsAs, map mk_conversep Rs); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1199 |
val rhs = mk_conversep (Term.list_comb (rel, Rs)); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1200 |
val le_goal = fold_rev Logic.all Rs (HOLogic.mk_Trueprop (mk_leq lhs rhs)); |
51551 | 1201 |
val le_thm = Goal.prove_sorry lthy [] [] le_goal |
55197 | 1202 |
(fn {context = ctxt, prems = _} => mk_rel_conversep_le_tac ctxt rel_OO_Grps |
1203 |
(Lazy.force rel_eq) (#map_cong0 axioms) (Lazy.force map_comp) |
|
1204 |
(map Lazy.force set_map)) |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1205 |
|> Thm.close_derivation |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49111
diff
changeset
|
1206 |
val goal = fold_rev Logic.all Rs (mk_Trueprop_eq (lhs, rhs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1207 |
in |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1208 |
Goal.prove_sorry lthy [] [] goal |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1209 |
(K (mk_rel_conversep_tac le_thm (Lazy.force rel_mono))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49103
diff
changeset
|
1210 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1211 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1212 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1213 |
val rel_conversep = Lazy.lazy mk_rel_conversep; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1214 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1215 |
fun mk_rel_OO () = |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1216 |
Goal.prove_sorry lthy [] [] |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1217 |
(fold_rev Logic.all (Rs @ Ss) (HOLogic.mk_Trueprop (mk_leq rel_OO_lhs rel_OO_rhs))) |
55197 | 1218 |
(fn {context = ctxt, prems = _} => mk_rel_OO_le_tac ctxt rel_OO_Grps (Lazy.force rel_eq) |
1219 |
(#map_cong0 axioms) (Lazy.force map_comp) (map Lazy.force set_map)) |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1220 |
|> Thm.close_derivation |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1221 |
|> (fn thm => @{thm antisym} OF [thm, #le_rel_OO axioms]); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1222 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1223 |
val rel_OO = Lazy.lazy mk_rel_OO; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1224 |
|
53561 | 1225 |
fun mk_in_rel () = trans OF [rel_OO_Grp, @{thm OO_Grp_alt}] RS @{thm predicate2_eqD}; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1226 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1227 |
val in_rel = Lazy.lazy mk_in_rel; |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1228 |
|
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1229 |
fun mk_rel_flip () = |
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1230 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1231 |
val rel_conversep_thm = Lazy.force rel_conversep; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1232 |
val cts = map (SOME o certify lthy) Rs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1233 |
val rel_conversep_thm' = cterm_instantiate_pos cts rel_conversep_thm; |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1234 |
in |
51917
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51916
diff
changeset
|
1235 |
unfold_thms lthy @{thms conversep_iff} (rel_conversep_thm' RS @{thm predicate2_eqD}) |
49595
e8c57e59cbf8
got rid of other instance of shaky "Thm.generalize"
blanchet
parents:
49594
diff
changeset
|
1236 |
|> singleton (Proof_Context.export names_lthy pre_names_lthy) |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1237 |
end; |
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1238 |
|
49538 | 1239 |
val rel_flip = Lazy.lazy mk_rel_flip; |
49537
fe1deee434b6
generate "rel_as_srel" and "rel_flip" properties
blanchet
parents:
49536
diff
changeset
|
1240 |
|
51916 | 1241 |
fun mk_rel_mono_strong () = |
1242 |
let |
|
1243 |
fun mk_prem setA setB R S a b = |
|
1244 |
HOLogic.mk_Trueprop |
|
1245 |
(mk_Ball (setA $ x) (Term.absfree (dest_Free a) |
|
1246 |
(mk_Ball (setB $ y) (Term.absfree (dest_Free b) |
|
1247 |
(HOLogic.mk_imp (R $ a $ b, S $ a $ b)))))); |
|
1248 |
val prems = HOLogic.mk_Trueprop (Term.list_comb (rel, Rs) $ x $ y) :: |
|
1249 |
map6 mk_prem bnf_sets_As bnf_sets_Bs Rs Rs_copy zs ys; |
|
1250 |
val concl = HOLogic.mk_Trueprop (Term.list_comb (rel, Rs_copy) $ x $ y); |
|
1251 |
in |
|
1252 |
Goal.prove_sorry lthy [] [] |
|
1253 |
(fold_rev Logic.all (x :: y :: Rs @ Rs_copy) (Logic.list_implies (prems, concl))) |
|
55197 | 1254 |
(fn {context = ctxt, prems = _} => mk_rel_mono_strong_tac ctxt (Lazy.force in_rel) |
1255 |
(map Lazy.force set_map)) |
|
51916 | 1256 |
|> Thm.close_derivation |
1257 |
end; |
|
1258 |
||
1259 |
val rel_mono_strong = Lazy.lazy mk_rel_mono_strong; |
|
1260 |
||
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1261 |
fun mk_map_transfer () = |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1262 |
let |
52725 | 1263 |
val rels = map2 mk_fun_rel transfer_domRs transfer_ranRs; |
1264 |
val rel = mk_fun_rel |
|
1265 |
(Term.list_comb (mk_bnf_rel transfer_domRTs CA' CB1, transfer_domRs)) |
|
1266 |
(Term.list_comb (mk_bnf_rel transfer_ranRTs CB' CB2, transfer_ranRs)); |
|
1267 |
val concl = HOLogic.mk_Trueprop |
|
1268 |
(fold_rev mk_fun_rel rels rel $ bnf_map_AsBs $ mk_bnf_map B1Ts B2Ts); |
|
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1269 |
in |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1270 |
Goal.prove_sorry lthy [] [] |
52725 | 1271 |
(fold_rev Logic.all (transfer_domRs @ transfer_ranRs) concl) |
55197 | 1272 |
(fn {context = ctxt, prems = _} => mk_map_transfer_tac ctxt (Lazy.force rel_mono) |
1273 |
(Lazy.force in_rel) (map Lazy.force set_map) (#map_cong0 axioms) |
|
1274 |
(Lazy.force map_comp)) |
|
52719
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1275 |
|> Thm.close_derivation |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1276 |
end; |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1277 |
|
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1278 |
val map_transfer = Lazy.lazy mk_map_transfer; |
480a3479fa47
transfer rule for map (not yet registered as a transfer rule)
traytel
parents:
52635
diff
changeset
|
1279 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1280 |
val defs = mk_defs bnf_map_def bnf_set_defs bnf_rel_def; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1281 |
|
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
51930
diff
changeset
|
1282 |
val facts = mk_facts bd_Card_order bd_Cinfinite bd_Cnotzero collect_set_map in_bd in_cong |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1283 |
in_mono in_rel map_comp map_cong map_id map_transfer rel_eq rel_flip set_map |
51916 | 1284 |
rel_cong rel_mono rel_mono_strong rel_Grp rel_conversep rel_OO; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1285 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1286 |
val wits = map2 mk_witness bnf_wits wit_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1287 |
|
49507 | 1288 |
val bnf_rel = |
1289 |
Term.subst_atomic_types ((Ds ~~ deads) @ (As' ~~ alphas) @ (Bs' ~~ betas)) rel; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1290 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1291 |
val bnf = mk_bnf bnf_b Calpha live alphas betas dead deads bnf_map bnf_sets bnf_bd axioms |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54740
diff
changeset
|
1292 |
defs facts wits bnf_rel; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1293 |
in |
53265 | 1294 |
(bnf, lthy |> note_bnf_thms fact_policy qualify bnf_b bnf) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1295 |
end; |
49459 | 1296 |
|
1297 |
val one_step_defs = |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
1298 |
no_reflexive (bnf_map_def :: bnf_bd_def :: bnf_set_defs @ bnf_wit_defs @ [bnf_rel_def]); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1299 |
in |
49459 | 1300 |
(key, goals, wit_goalss, after_qed, lthy, one_step_defs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1301 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1302 |
|
49434
433dc7e028c8
separated registration of BNFs from bnf_def (BNFs are now stored only for bnf_def and (co)data commands)
traytel
parents:
49430
diff
changeset
|
1303 |
fun register_bnf key (bnf, lthy) = |
54285
578371ba74cc
reverted 3e1d230f1c00 -- pervasiveness is useful, cf. Coinductive_Nat in the AFP
blanchet
parents:
54265
diff
changeset
|
1304 |
(bnf, Local_Theory.declaration {syntax = false, pervasive = true} |
55444
ec73f81e49e7
iteration n in the 'default' vs. 'update_new' vs. 'update' saga -- 'update' makes sense now that we honor the canonical order on 'merge' (as opposed to raising 'DUP')
blanchet
parents:
55394
diff
changeset
|
1305 |
(fn phi => Data.map (Symtab.update (key, morph_bnf phi bnf))) lthy); |
49434
433dc7e028c8
separated registration of BNFs from bnf_def (BNFs are now stored only for bnf_def and (co)data commands)
traytel
parents:
49430
diff
changeset
|
1306 |
|
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
1307 |
fun bnf_def const_policy fact_policy qualify tacs wit_tac Ds map_b rel_b set_bs = |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1308 |
(fn (_, goals, (triv_tac_opt, wit_goalss), after_qed, lthy, one_step_defs) => |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1309 |
let |
55197 | 1310 |
fun mk_wits_tac ctxt set_maps = |
1311 |
TRYALL Goal.conjunction_tac THEN |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1312 |
(case triv_tac_opt of |
55197 | 1313 |
SOME tac => tac ctxt set_maps |
1314 |
| NONE => unfold_thms_tac ctxt one_step_defs THEN wit_tac ctxt); |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1315 |
val wit_goals = map Logic.mk_conjunction_balanced wit_goalss; |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1316 |
fun mk_wit_thms set_maps = |
55197 | 1317 |
Goal.prove_sorry lthy [] [] (Logic.mk_conjunction_balanced wit_goals) |
1318 |
(fn {context = ctxt, prems = _} => mk_wits_tac ctxt set_maps) |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1319 |
|> Conjunction.elim_balanced (length wit_goals) |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1320 |
|> map2 (Conjunction.elim_balanced o length) wit_goalss |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1321 |
|> map (map (Thm.close_derivation o Thm.forall_elim_vars 0)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1322 |
in |
51551 | 1323 |
map2 (Thm.close_derivation oo Goal.prove_sorry lthy [] []) |
55197 | 1324 |
goals (map (fn tac => fn {context = ctxt, prems = _} => |
1325 |
unfold_thms_tac ctxt one_step_defs THEN tac ctxt) tacs) |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1326 |
|> (fn thms => after_qed mk_wit_thms (map single thms) lthy) |
54421 | 1327 |
end) oo prepare_def const_policy fact_policy qualify (K I) (K I) Ds map_b rel_b set_bs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1328 |
|
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1329 |
val bnf_cmd = (fn (key, goals, (triv_tac_opt, wit_goalss), after_qed, lthy, defs) => |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1330 |
let |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1331 |
val wit_goals = map Logic.mk_conjunction_balanced wit_goalss; |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1332 |
fun mk_triv_wit_thms tac set_maps = |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1333 |
Goal.prove_sorry lthy [] [] (Logic.mk_conjunction_balanced wit_goals) |
55197 | 1334 |
(fn {context = ctxt, prems = _} => TRYALL Goal.conjunction_tac THEN tac ctxt set_maps) |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1335 |
|> Conjunction.elim_balanced (length wit_goals) |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1336 |
|> map2 (Conjunction.elim_balanced o length) wit_goalss |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1337 |
|> map (map (Thm.close_derivation o Thm.forall_elim_vars 0)); |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1338 |
val (mk_wit_thms, nontriv_wit_goals) = |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1339 |
(case triv_tac_opt of |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1340 |
NONE => (fn _ => [], map (map (rpair [])) wit_goalss) |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1341 |
| SOME tac => (mk_triv_wit_thms tac, [])); |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1342 |
in |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1343 |
Proof.unfolding ([[(defs, [])]]) |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1344 |
(Proof.theorem NONE (snd o register_bnf key oo after_qed mk_wit_thms) |
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1345 |
(map (single o rpair []) goals @ nontriv_wit_goals) lthy) |
54421 | 1346 |
end) oo prepare_def Do_Inline (user_policy Note_Some) I Syntax.read_typ Syntax.read_term NONE |
54189
c0186a0d8cb3
define a trivial nonemptiness witness if none is provided
traytel
parents:
54158
diff
changeset
|
1347 |
Binding.empty Binding.empty []; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1348 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1349 |
fun print_bnfs ctxt = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1350 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1351 |
fun pretty_set sets i = Pretty.block |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1352 |
[Pretty.str (mk_setN (i + 1) ^ ":"), Pretty.brk 1, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1353 |
Pretty.quote (Syntax.pretty_term ctxt (nth sets i))]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1354 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1355 |
fun pretty_bnf (key, BNF {T = T, map = map, sets = sets, bd = bd, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1356 |
live = live, lives = lives, dead = dead, deads = deads, ...}) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1357 |
Pretty.big_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1358 |
(Pretty.string_of (Pretty.block [Pretty.str key, Pretty.str ":", Pretty.brk 1, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1359 |
Pretty.quote (Syntax.pretty_typ ctxt T)])) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1360 |
([Pretty.block [Pretty.str "live:", Pretty.brk 1, Pretty.str (string_of_int live), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1361 |
Pretty.brk 3, Pretty.list "[" "]" (List.map (Syntax.pretty_typ ctxt) lives)], |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1362 |
Pretty.block [Pretty.str "dead:", Pretty.brk 1, Pretty.str (string_of_int dead), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1363 |
Pretty.brk 3, Pretty.list "[" "]" (List.map (Syntax.pretty_typ ctxt) deads)], |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1364 |
Pretty.block [Pretty.str (mapN ^ ":"), Pretty.brk 1, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1365 |
Pretty.quote (Syntax.pretty_term ctxt map)]] @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1366 |
List.map (pretty_set sets) (0 upto length sets - 1) @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1367 |
[Pretty.block [Pretty.str (bdN ^ ":"), Pretty.brk 1, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1368 |
Pretty.quote (Syntax.pretty_term ctxt bd)]]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1369 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1370 |
Pretty.big_list "BNFs:" (map pretty_bnf (Symtab.dest (Data.get (Context.Proof ctxt)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1371 |
|> Pretty.writeln |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1372 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1373 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1374 |
val _ = |
51836
4d6dcd51dd52
renamed "bnf_def" keyword to "bnf" (since it's not a definition, but rather a registration)
blanchet
parents:
51823
diff
changeset
|
1375 |
Outer_Syntax.improper_command @{command_spec "print_bnfs"} |
53289 | 1376 |
"print all bounded natural functors" |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1377 |
(Scan.succeed (Toplevel.keep (print_bnfs o Toplevel.context_of))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1378 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1379 |
val _ = |
51836
4d6dcd51dd52
renamed "bnf_def" keyword to "bnf" (since it's not a definition, but rather a registration)
blanchet
parents:
51823
diff
changeset
|
1380 |
Outer_Syntax.local_theory_to_proof @{command_spec "bnf"} |
53289 | 1381 |
"register a type as a bounded natural functor" |
54421 | 1382 |
(parse_opt_binding_colon -- Parse.typ --| |
1383 |
(Parse.reserved "map" -- @{keyword ":"}) -- Parse.term -- |
|
1384 |
(Scan.option ((Parse.reserved "sets" -- @{keyword ":"}) |-- |
|
1385 |
Scan.repeat1 (Scan.unless (Parse.reserved "bd") Parse.term)) >> the_default []) --| |
|
1386 |
(Parse.reserved "bd" -- @{keyword ":"}) -- Parse.term -- |
|
1387 |
(Scan.option ((Parse.reserved "wits" -- @{keyword ":"}) |-- |
|
1388 |
Scan.repeat1 (Scan.unless (Parse.reserved "rel") Parse.term)) >> the_default []) -- |
|
1389 |
Scan.option ((Parse.reserved "rel" -- @{keyword ":"}) |-- Parse.term) |
|
51836
4d6dcd51dd52
renamed "bnf_def" keyword to "bnf" (since it's not a definition, but rather a registration)
blanchet
parents:
51823
diff
changeset
|
1390 |
>> bnf_cmd); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1391 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1392 |
end; |