author | blanchet |
Wed, 12 Sep 2012 23:06:39 +0200 | |
changeset 49342 | 8ea4bad49ed5 |
parent 49337 | 538687a77075 |
child 49366 | 3edd1c90f6e6 |
permissions | -rw-r--r-- |
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(* Title: HOL/Codatatype/Tools/bnf_util.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Copyright 2012 |
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49282 | 5 |
Library for bounded natural functors. |
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*) |
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|
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signature BNF_UTIL = |
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sig |
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val map3: ('a -> 'b -> 'c -> 'd) -> 'a list -> 'b list -> 'c list -> 'd list |
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val map4: ('a -> 'b -> 'c -> 'd -> 'e) -> 'a list -> 'b list -> 'c list -> 'd list -> 'e list |
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val map5: ('a -> 'b -> 'c -> 'd -> 'e -> 'f) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list |
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val map6: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list |
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val map7: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h list |
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val map8: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h -> 'i) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h list -> 'i list |
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val map9: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h -> 'i -> 'j) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h list -> |
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'i list -> 'j list |
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val map10: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h -> 'i -> 'j -> 'k) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h list -> |
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'i list -> 'j list -> 'k list |
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val map11: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h -> 'i -> 'j -> 'k -> 'l) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h list -> |
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'i list -> 'j list -> 'k list -> 'l list |
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val map12: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h -> 'i -> 'j -> 'k -> 'l -> 'm) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h list -> |
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'i list -> 'j list -> 'k list -> 'l list -> 'm list |
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val fold_map2: ('a -> 'b -> 'c -> 'd * 'c) -> 'a list -> 'b list -> 'c -> 'd list * 'c |
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val fold_map3: ('a -> 'b -> 'c -> 'd -> 'e * 'd) -> |
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'a list -> 'b list -> 'c list -> 'd -> 'e list * 'd |
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val fold_map4: ('a -> 'b -> 'c -> 'd -> 'e -> 'f * 'e) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e -> 'f list * 'e |
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val fold_map5: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g * 'f) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f -> 'g list * 'f |
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val fold_map6: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h * 'g) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g -> 'h list * 'g |
7f79f94a432c
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val fold_map7: ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h -> 'i * 'h) -> |
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'a list -> 'b list -> 'c list -> 'd list -> 'e list -> 'f list -> 'g list -> 'h -> 'i list * 'h |
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val interleave: 'a list -> 'a list -> 'a list |
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val transpose: 'a list list -> 'a list list |
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val seq_conds: (bool -> 'a -> 'b) -> int -> int -> 'a list -> 'b list |
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val mk_fresh_names: Proof.context -> int -> string -> string list * Proof.context |
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val mk_TFrees: int -> Proof.context -> typ list * Proof.context |
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val mk_TFreess: int list -> Proof.context -> typ list list * Proof.context |
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support for sort constraints in new (co)data commands
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val mk_TFrees': sort list -> Proof.context -> typ list * Proof.context |
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val mk_Frees: string -> typ list -> Proof.context -> term list * Proof.context |
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val mk_Freess: string -> typ list list -> Proof.context -> term list list * Proof.context |
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introduced and used "mk_Freesss", and simplified "mk_Freess(')"
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val mk_Freesss: string -> typ list list list -> Proof.context -> |
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term list list list * Proof.context |
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val mk_Freessss: string -> typ list list list list -> Proof.context -> |
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term list list list list * Proof.context |
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val mk_Frees': string -> typ list -> Proof.context -> |
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(term list * (string * typ) list) * Proof.context |
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val mk_Freess': string -> typ list list -> Proof.context -> |
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(term list list * (string * typ) list list) * Proof.context |
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val mk_optionT: typ -> typ |
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val mk_relT: typ * typ -> typ |
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val dest_relT: typ -> typ * typ |
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val mk_sumT: typ * typ -> typ |
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|
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val ctwo: term |
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val fst_const: typ -> term |
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val snd_const: typ -> term |
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val Id_const: typ -> term |
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|
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val mk_Ball: term -> term -> term |
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val mk_Bex: term -> term -> term |
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val mk_Card_order: term -> term |
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val mk_Field: term -> term |
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val mk_Gr: term -> term -> term |
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val mk_IfN: typ -> term list -> term list -> term |
49123
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more work on sugar + simplify Trueprop + eq idiom everywhere
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val mk_Trueprop_eq: term * term -> term |
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val mk_UNION: term -> term -> term |
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val mk_Union: typ -> term |
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val mk_card_binop: string -> (typ * typ -> typ) -> term -> term -> term |
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val mk_card_of: term -> term |
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val mk_card_order: term -> term |
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val mk_ccexp: term -> term -> term |
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val mk_cexp: term -> term -> term |
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val mk_cinfinite: term -> term |
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val mk_collect: term list -> typ -> term |
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val mk_converse: term -> term |
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val mk_cprod: term -> term -> term |
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val mk_csum: term -> term -> term |
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val mk_dir_image: term -> term -> term |
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val mk_image: term -> term |
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val mk_in: term list -> term list -> typ -> term |
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val mk_ordLeq: term -> term -> term |
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val mk_rel_comp: term * term -> term |
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val mk_subset: term -> term -> term |
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val mk_wpull: term -> term -> term -> term -> term -> (term * term) option -> term -> term -> term |
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49075 | 99 |
val list_all_free: term list -> term -> term |
100 |
val list_exists_free: term list -> term -> term |
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||
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102 |
(*parameterized terms*) |
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103 |
val mk_nthN: int -> term -> int -> term |
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|
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105 |
(*parameterized thms*) |
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106 |
val mk_Un_upper: int -> int -> thm |
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parents:
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|
107 |
val mk_conjIN: int -> thm |
7f79f94a432c
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|
108 |
val mk_conjunctN: int -> int -> thm |
49337 | 109 |
val conj_dests: int -> thm -> thm list |
49075 | 110 |
val mk_disjIN: int -> int -> thm |
48975
7f79f94a432c
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parents:
diff
changeset
|
111 |
val mk_nthI: int -> int -> thm |
7f79f94a432c
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parents:
diff
changeset
|
112 |
val mk_nth_conv: int -> int -> thm |
7f79f94a432c
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parents:
diff
changeset
|
113 |
val mk_ordLeq_csum: int -> int -> thm -> thm |
7f79f94a432c
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parents:
diff
changeset
|
114 |
val mk_UnN: int -> int -> thm |
7f79f94a432c
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parents:
diff
changeset
|
115 |
|
7f79f94a432c
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parents:
diff
changeset
|
116 |
val ctrans: thm |
7f79f94a432c
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|
117 |
val o_apply: thm |
7f79f94a432c
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parents:
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changeset
|
118 |
val mk_sym: thm -> thm |
7f79f94a432c
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parents:
diff
changeset
|
119 |
val mk_trans: thm -> thm -> thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
120 |
val mk_unabs_def: int -> thm -> thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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changeset
|
121 |
|
7f79f94a432c
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parents:
diff
changeset
|
122 |
val mk_permute: ''a list -> ''a list -> 'b list -> 'b list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
123 |
val find_indices: ''a list -> ''a list -> int list |
7f79f94a432c
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parents:
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changeset
|
124 |
|
49075 | 125 |
val certifyT: Proof.context -> typ -> ctyp |
126 |
val certify: Proof.context -> term -> cterm |
|
127 |
||
49228 | 128 |
val typedef: bool -> binding option -> binding * (string * sort) list * mixfix -> term -> |
129 |
(binding * binding) option -> tactic -> local_theory -> (string * Typedef.info) * local_theory |
|
130 |
||
48975
7f79f94a432c
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changeset
|
131 |
val WRAP: ('a -> tactic) -> ('a -> tactic) -> 'a list -> tactic -> tactic |
7f79f94a432c
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parents:
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changeset
|
132 |
val WRAP': ('a -> int -> tactic) -> ('a -> int -> tactic) -> 'a list -> (int -> tactic) -> int -> |
7f79f94a432c
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changeset
|
133 |
tactic |
7f79f94a432c
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parents:
diff
changeset
|
134 |
val CONJ_WRAP_GEN: tactic -> ('a -> tactic) -> 'a list -> tactic |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
135 |
val CONJ_WRAP_GEN': (int -> tactic) -> ('a -> int -> tactic) -> 'a list -> int -> tactic |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
136 |
val CONJ_WRAP: ('a -> tactic) -> 'a list -> tactic |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
137 |
val CONJ_WRAP': ('a -> int -> tactic) -> 'a list -> int -> tactic |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
138 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
139 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
140 |
structure BNF_Util : BNF_UTIL = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
141 |
struct |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
142 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
143 |
(* Library proper *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
144 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
145 |
fun map3 _ [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
146 |
| map3 f (x1::x1s) (x2::x2s) (x3::x3s) = f x1 x2 x3 :: map3 f x1s x2s x3s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
147 |
| map3 _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
148 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
149 |
fun map4 _ [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
150 |
| map4 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) = f x1 x2 x3 x4 :: map4 f x1s x2s x3s x4s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
151 |
| map4 _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
152 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
153 |
fun map5 _ [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
154 |
| map5 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
155 |
f x1 x2 x3 x4 x5 :: map5 f x1s x2s x3s x4s x5s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
156 |
| map5 _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
157 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
158 |
fun map6 _ [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
159 |
| map6 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) (x6::x6s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
160 |
f x1 x2 x3 x4 x5 x6 :: map6 f x1s x2s x3s x4s x5s x6s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
161 |
| map6 _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
162 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
163 |
fun map7 _ [] [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
164 |
| map7 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) (x6::x6s) (x7::x7s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
165 |
f x1 x2 x3 x4 x5 x6 x7 :: map7 f x1s x2s x3s x4s x5s x6s x7s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
166 |
| map7 _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
167 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
168 |
fun map8 _ [] [] [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
169 |
| map8 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) (x6::x6s) (x7::x7s) (x8::x8s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
170 |
f x1 x2 x3 x4 x5 x6 x7 x8 :: map8 f x1s x2s x3s x4s x5s x6s x7s x8s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
171 |
| map8 _ _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
172 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
173 |
fun map9 _ [] [] [] [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
174 |
| map9 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
175 |
(x6::x6s) (x7::x7s) (x8::x8s) (x9::x9s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
176 |
f x1 x2 x3 x4 x5 x6 x7 x8 x9 :: map9 f x1s x2s x3s x4s x5s x6s x7s x8s x9s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
177 |
| map9 _ _ _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
178 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
179 |
fun map10 _ [] [] [] [] [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
180 |
| map10 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
181 |
(x6::x6s) (x7::x7s) (x8::x8s) (x9::x9s) (x10::x10s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
182 |
f x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 :: map10 f x1s x2s x3s x4s x5s x6s x7s x8s x9s x10s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
183 |
| map10 _ _ _ _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
184 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
185 |
fun map11 _ [] [] [] [] [] [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
186 |
| map11 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
187 |
(x6::x6s) (x7::x7s) (x8::x8s) (x9::x9s) (x10::x10s) (x11::x11s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
188 |
f x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 :: map11 f x1s x2s x3s x4s x5s x6s x7s x8s x9s x10s x11s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
189 |
| map11 _ _ _ _ _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
190 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
191 |
fun map12 _ [] [] [] [] [] [] [] [] [] [] [] [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
192 |
| map12 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
193 |
(x6::x6s) (x7::x7s) (x8::x8s) (x9::x9s) (x10::x10s) (x11::x11s) (x12::x12s) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
194 |
f x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 :: |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
195 |
map12 f x1s x2s x3s x4s x5s x6s x7s x8s x9s x10s x11s x12s |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
196 |
| map12 _ _ _ _ _ _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
197 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
198 |
fun fold_map2 _ [] [] acc = ([], acc) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
199 |
| fold_map2 f (x1::x1s) (x2::x2s) acc = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
200 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
201 |
val (x, acc') = f x1 x2 acc; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
202 |
val (xs, acc'') = fold_map2 f x1s x2s acc'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
203 |
in (x :: xs, acc'') end |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
204 |
| fold_map2 _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
205 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
206 |
fun fold_map3 _ [] [] [] acc = ([], acc) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
207 |
| fold_map3 f (x1::x1s) (x2::x2s) (x3::x3s) acc = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
208 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
209 |
val (x, acc') = f x1 x2 x3 acc; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
210 |
val (xs, acc'') = fold_map3 f x1s x2s x3s acc'; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
211 |
in (x :: xs, acc'') end |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
212 |
| fold_map3 _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
213 |
|
7f79f94a432c
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blanchet
parents:
diff
changeset
|
214 |
fun fold_map4 _ [] [] [] [] acc = ([], acc) |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
215 |
| fold_map4 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) acc = |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
216 |
let |
7f79f94a432c
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parents:
diff
changeset
|
217 |
val (x, acc') = f x1 x2 x3 x4 acc; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
218 |
val (xs, acc'') = fold_map4 f x1s x2s x3s x4s acc'; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
219 |
in (x :: xs, acc'') end |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
220 |
| fold_map4 _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
221 |
|
7f79f94a432c
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blanchet
parents:
diff
changeset
|
222 |
fun fold_map5 _ [] [] [] [] [] acc = ([], acc) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
223 |
| fold_map5 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) acc = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
224 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
225 |
val (x, acc') = f x1 x2 x3 x4 x5 acc; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
226 |
val (xs, acc'') = fold_map5 f x1s x2s x3s x4s x5s acc'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
227 |
in (x :: xs, acc'') end |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
228 |
| fold_map5 _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
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parents:
diff
changeset
|
229 |
|
7f79f94a432c
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blanchet
parents:
diff
changeset
|
230 |
fun fold_map6 _ [] [] [] [] [] [] acc = ([], acc) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
231 |
| fold_map6 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) (x6::x6s) acc = |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
232 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
233 |
val (x, acc') = f x1 x2 x3 x4 x5 x6 acc; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
234 |
val (xs, acc'') = fold_map6 f x1s x2s x3s x4s x5s x6s acc'; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
235 |
in (x :: xs, acc'') end |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
236 |
| fold_map6 _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
237 |
|
7f79f94a432c
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blanchet
parents:
diff
changeset
|
238 |
fun fold_map7 _ [] [] [] [] [] [] [] acc = ([], acc) |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
239 |
| fold_map7 f (x1::x1s) (x2::x2s) (x3::x3s) (x4::x4s) (x5::x5s) (x6::x6s) (x7::x7s) acc = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
240 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
241 |
val (x, acc') = f x1 x2 x3 x4 x5 x6 x7 acc; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
242 |
val (xs, acc'') = fold_map7 f x1s x2s x3s x4s x5s x6s x7s acc'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
243 |
in (x :: xs, acc'') end |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
244 |
| fold_map7 _ _ _ _ _ _ _ _ _ = raise ListPair.UnequalLengths; |
7f79f94a432c
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|
245 |
|
49075 | 246 |
(*stolen from ~~/src/HOL/Tools/SMT/smt_utils.ML*) |
247 |
fun certify ctxt = Thm.cterm_of (Proof_Context.theory_of ctxt); |
|
248 |
fun certifyT ctxt = Thm.ctyp_of (Proof_Context.theory_of ctxt); |
|
249 |
||
49228 | 250 |
(*TODO: is this really different from Typedef.add_typedef_global?*) |
251 |
fun typedef def opt_name typ set opt_morphs tac lthy = |
|
252 |
let |
|
253 |
val ((name, info), (lthy, lthy_old)) = |
|
254 |
lthy |
|
255 |
|> Typedef.add_typedef def opt_name typ set opt_morphs tac |
|
256 |
||> `Local_Theory.restore; |
|
257 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
|
258 |
in |
|
259 |
((name, Typedef.transform_info phi info), lthy) |
|
260 |
end; |
|
261 |
||
48975
7f79f94a432c
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parents:
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|
262 |
(*Tactical WRAP surrounds a static given tactic (core) with two deterministic chains of tactics*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
263 |
fun WRAP gen_before gen_after xs core_tac = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
264 |
fold_rev (fn x => fn tac => gen_before x THEN tac THEN gen_after x) xs core_tac; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
265 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
266 |
fun WRAP' gen_before gen_after xs core_tac = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
267 |
fold_rev (fn x => fn tac => gen_before x THEN' tac THEN' gen_after x) xs core_tac; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
268 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
269 |
fun CONJ_WRAP_GEN conj_tac gen_tac xs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
270 |
let val (butlast, last) = split_last xs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
271 |
in WRAP (fn thm => conj_tac THEN gen_tac thm) (K all_tac) butlast (gen_tac last) end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
272 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
273 |
fun CONJ_WRAP_GEN' conj_tac gen_tac xs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
274 |
let val (butlast, last) = split_last xs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
275 |
in WRAP' (fn thm => conj_tac THEN' gen_tac thm) (K (K all_tac)) butlast (gen_tac last) end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
276 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
277 |
(*not eta-converted because of monotype restriction*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
278 |
fun CONJ_WRAP gen_tac = CONJ_WRAP_GEN (rtac conjI 1) gen_tac; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
279 |
fun CONJ_WRAP' gen_tac = CONJ_WRAP_GEN' (rtac conjI) gen_tac; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
280 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
282 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
283 |
(* Term construction *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
284 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
285 |
(** Fresh variables **) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
286 |
|
49298
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49282
diff
changeset
|
287 |
val mk_TFrees' = apfst (map TFree) oo Variable.invent_types; |
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49282
diff
changeset
|
288 |
|
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49282
diff
changeset
|
289 |
fun mk_TFrees n = mk_TFrees' (replicate n HOLogic.typeS); |
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49282
diff
changeset
|
290 |
val mk_TFreess = fold_map mk_TFrees; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
291 |
|
49178 | 292 |
fun mk_names n x = if n = 1 then [x] else map (fn i => x ^ string_of_int i) (1 upto n); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
293 |
|
49178 | 294 |
fun mk_fresh_names ctxt = (fn xs => Variable.variant_fixes xs ctxt) oo mk_names; |
295 |
fun mk_Frees x Ts ctxt = mk_fresh_names ctxt (length Ts) x |>> (fn xs => map2 (curry Free) xs Ts); |
|
49177
db8ce685073f
introduced and used "mk_Freesss", and simplified "mk_Freess(')"
blanchet
parents:
49176
diff
changeset
|
296 |
fun mk_Freess x Tss = fold_map2 mk_Frees (mk_names (length Tss) x) Tss; |
db8ce685073f
introduced and used "mk_Freesss", and simplified "mk_Freess(')"
blanchet
parents:
49176
diff
changeset
|
297 |
fun mk_Freesss x Tsss = fold_map2 mk_Freess (mk_names (length Tsss) x) Tsss; |
49200 | 298 |
fun mk_Freessss x Tssss = fold_map2 mk_Freesss (mk_names (length Tssss) x) Tssss; |
49178 | 299 |
fun mk_Frees' x Ts ctxt = mk_fresh_names ctxt (length Ts) x |>> (fn xs => `(map Free) (xs ~~ Ts)); |
49177
db8ce685073f
introduced and used "mk_Freesss", and simplified "mk_Freess(')"
blanchet
parents:
49176
diff
changeset
|
300 |
fun mk_Freess' x Tss = fold_map2 mk_Frees' (mk_names (length Tss) x) Tss #>> split_list; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
|
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 |
(** Types **) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
304 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
fun mk_optionT T = Type (@{type_name option}, [T]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
306 |
val mk_relT = HOLogic.mk_setT o HOLogic.mk_prodT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
307 |
val dest_relT = HOLogic.dest_prodT o HOLogic.dest_setT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
308 |
fun mk_sumT (LT, RT) = Type (@{type_name Sum_Type.sum}, [LT, RT]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
309 |
fun mk_partial_funT (ranT, domT) = domT --> mk_optionT ranT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
311 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
(** Constants **) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
313 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
314 |
fun fst_const T = Const (@{const_name fst}, T --> fst (HOLogic.dest_prodT T)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
315 |
fun snd_const T = Const (@{const_name snd}, T --> snd (HOLogic.dest_prodT T)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
316 |
fun Id_const T = Const (@{const_name Id}, mk_relT (T, T)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
317 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
318 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
(** Operators **) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
320 |
|
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49119
diff
changeset
|
321 |
val mk_Trueprop_eq = HOLogic.mk_Trueprop o HOLogic.mk_eq; |
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49119
diff
changeset
|
322 |
|
49210 | 323 |
fun mk_IfN _ _ [t] = t |
324 |
| mk_IfN T (c :: cs) (t :: ts) = |
|
325 |
Const (@{const_name If}, HOLogic.boolT --> T --> T --> T) $ c $ t $ mk_IfN T cs ts; |
|
326 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
327 |
fun mk_converse R = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
328 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
329 |
val RT = dest_relT (fastype_of R); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
330 |
val RST = mk_relT (snd RT, fst RT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
331 |
in Const (@{const_name converse}, fastype_of R --> RST) $ R end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
332 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
333 |
fun mk_rel_comp (R, S) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
334 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
335 |
val RT = fastype_of R; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
336 |
val ST = fastype_of S; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
337 |
val RST = mk_relT (fst (dest_relT RT), snd (dest_relT ST)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
338 |
in Const (@{const_name relcomp}, RT --> ST --> RST) $ R $ S end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
339 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
340 |
fun mk_Gr A f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
341 |
let val ((AT, BT), FT) = `dest_funT (fastype_of f); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
342 |
in Const (@{const_name Gr}, HOLogic.mk_setT AT --> FT --> mk_relT (AT, BT)) $ A $ f end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
343 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
344 |
fun mk_image f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
345 |
let val (T, U) = dest_funT (fastype_of f); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
346 |
in Const (@{const_name image}, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
347 |
(T --> U) --> (HOLogic.mk_setT T) --> (HOLogic.mk_setT U)) $ f end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
348 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
349 |
fun mk_Ball X f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
350 |
Const (@{const_name Ball}, fastype_of X --> fastype_of f --> HOLogic.boolT) $ X $ f; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
351 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
352 |
fun mk_Bex X f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
353 |
Const (@{const_name Bex}, fastype_of X --> fastype_of f --> HOLogic.boolT) $ X $ f; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
354 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
355 |
fun mk_UNION X f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
356 |
let val (T, U) = dest_funT (fastype_of f); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
357 |
in Const (@{const_name SUPR}, fastype_of X --> (T --> U) --> U) $ X $ f end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
359 |
fun mk_Union T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
360 |
Const (@{const_name Sup}, HOLogic.mk_setT (HOLogic.mk_setT T) --> HOLogic.mk_setT T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
361 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
362 |
fun mk_Field r = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
363 |
let val T = fst (dest_relT (fastype_of r)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
364 |
in Const (@{const_name Field}, mk_relT (T, T) --> HOLogic.mk_setT T) $ r end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
365 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
366 |
fun mk_card_order bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
367 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
val T = fastype_of bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
369 |
val AT = fst (dest_relT T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
370 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
371 |
Const (@{const_name card_order_on}, HOLogic.mk_setT AT --> T --> HOLogic.boolT) $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
372 |
(HOLogic.mk_UNIV AT) $ bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
373 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
375 |
fun mk_Card_order bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
376 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
val T = fastype_of bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
378 |
val AT = fst (dest_relT T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
Const (@{const_name card_order_on}, HOLogic.mk_setT AT --> T --> HOLogic.boolT) $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
381 |
mk_Field bd $ bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
382 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
383 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
fun mk_cinfinite bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
385 |
Const (@{const_name cinfinite}, fastype_of bd --> HOLogic.boolT) $ bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
386 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
387 |
fun mk_ordLeq t1 t2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
388 |
HOLogic.mk_mem (HOLogic.mk_prod (t1, t2), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
389 |
Const (@{const_name ordLeq}, mk_relT (fastype_of t1, fastype_of t2))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
390 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
391 |
fun mk_card_of A = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
392 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
393 |
val AT = fastype_of A; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
394 |
val T = HOLogic.dest_setT AT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
396 |
Const (@{const_name card_of}, AT --> mk_relT (T, T)) $ A |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
397 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
398 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
399 |
fun mk_dir_image r f = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
400 |
let val (T, U) = dest_funT (fastype_of f); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
401 |
in Const (@{const_name dir_image}, mk_relT (T, T) --> (T --> U) --> mk_relT (U, U)) $ r $ f end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
402 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
403 |
(*FIXME: "x"?*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
404 |
(*(nth sets i) must be of type "T --> 'ai set"*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
405 |
fun mk_in As sets T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
406 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
407 |
fun in_single set A = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
408 |
let val AT = fastype_of A; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
409 |
in Const (@{const_name less_eq}, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
410 |
AT --> AT --> HOLogic.boolT) $ (set $ Free ("x", T)) $ A end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
411 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
412 |
if length sets > 0 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
413 |
then HOLogic.mk_Collect ("x", T, foldr1 (HOLogic.mk_conj) (map2 in_single sets As)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
414 |
else HOLogic.mk_UNIV T |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
415 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
416 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
417 |
fun mk_wpull A B1 B2 f1 f2 pseudo p1 p2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
418 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
419 |
val AT = fastype_of A; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
420 |
val BT1 = fastype_of B1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
421 |
val BT2 = fastype_of B2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
422 |
val FT1 = fastype_of f1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
423 |
val FT2 = fastype_of f2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
424 |
val PT1 = fastype_of p1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
425 |
val PT2 = fastype_of p2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
426 |
val T1 = HOLogic.dest_setT BT1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
427 |
val T2 = HOLogic.dest_setT BT2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
428 |
val domP = domain_type PT1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
429 |
val ranF = range_type FT1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
430 |
val _ = if is_some pseudo orelse |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
431 |
(HOLogic.dest_setT AT = domP andalso |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
432 |
domain_type FT1 = T1 andalso |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
433 |
domain_type FT2 = T2 andalso |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
434 |
domain_type PT2 = domP andalso |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
435 |
range_type PT1 = T1 andalso |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
436 |
range_type PT2 = T2 andalso |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
437 |
range_type FT2 = ranF) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
438 |
then () else raise TYPE ("mk_wpull", [BT1, BT2, FT1, FT2, PT1, PT2], []); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
439 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
440 |
(case pseudo of |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
441 |
NONE => Const (@{const_name wpull}, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
442 |
AT --> BT1 --> BT2 --> FT1 --> FT2 --> PT1 --> PT2 --> HOLogic.boolT) $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
443 |
A $ B1 $ B2 $ f1 $ f2 $ p1 $ p2 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
444 |
| SOME (e1, e2) => Const (@{const_name wppull}, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
445 |
AT --> BT1 --> BT2 --> FT1 --> FT2 --> fastype_of e1 --> fastype_of e2 --> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
446 |
PT1 --> PT2 --> HOLogic.boolT) $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
447 |
A $ B1 $ B2 $ f1 $ f2 $ e1 $ e2 $ p1 $ p2) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
448 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
449 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
450 |
fun mk_subset t1 t2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
451 |
Const (@{const_name less_eq}, (fastype_of t1) --> (fastype_of t2) --> HOLogic.boolT) $ t1 $ t2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
452 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
453 |
fun mk_card_binop binop typop t1 t2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
454 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
455 |
val (T1, relT1) = `(fst o dest_relT) (fastype_of t1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
456 |
val (T2, relT2) = `(fst o dest_relT) (fastype_of t2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
457 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
458 |
Const (binop, relT1 --> relT2 --> mk_relT (typop (T1, T2), typop (T1, T2))) $ t1 $ t2 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
459 |
end; |
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 |
val mk_csum = mk_card_binop @{const_name csum} mk_sumT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
462 |
val mk_cprod = mk_card_binop @{const_name cprod} HOLogic.mk_prodT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
463 |
val mk_cexp = mk_card_binop @{const_name cexp} mk_partial_funT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
464 |
val mk_ccexp = mk_card_binop @{const_name ccexp} mk_partial_funT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
465 |
val ctwo = @{term ctwo}; |
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 |
fun mk_collect xs defT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
468 |
let val T = (case xs of [] => defT | (x::_) => fastype_of x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
469 |
in Const (@{const_name collect}, HOLogic.mk_setT T --> T) $ (HOLogic.mk_set T xs) end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
470 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
471 |
fun mk_permute src dest xs = map (nth xs o (fn x => find_index ((curry op =) x) src)) dest; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
472 |
|
49075 | 473 |
val list_all_free = |
474 |
fold_rev (fn free => fn P => |
|
475 |
let val (x, T) = Term.dest_Free free; |
|
476 |
in HOLogic.all_const T $ Term.absfree (x, T) P end); |
|
477 |
||
478 |
val list_exists_free = |
|
479 |
fold_rev (fn free => fn P => |
|
480 |
let val (x, T) = Term.dest_Free free; |
|
481 |
in HOLogic.exists_const T $ Term.absfree (x, T) P end); |
|
482 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
483 |
fun find_indices xs ys = map_filter I |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
484 |
(map_index (fn (i, y) => if member (op =) xs y then SOME i else NONE) ys); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
485 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
486 |
fun mk_trans thm1 thm2 = trans OF [thm1, thm2]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
487 |
fun mk_sym thm = sym OF [thm]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
488 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
489 |
(*TODO: antiquote heavily used theorems once*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
490 |
val ctrans = @{thm ordLeq_transitive}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
491 |
val o_apply = @{thm o_apply}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
492 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
493 |
fun mk_nthN 1 t 1 = t |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
494 |
| mk_nthN _ t 1 = HOLogic.mk_fst t |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
495 |
| mk_nthN 2 t 2 = HOLogic.mk_snd t |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
496 |
| mk_nthN n t m = mk_nthN (n - 1) (HOLogic.mk_snd t) (m - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
497 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
498 |
fun mk_nth_conv n m = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
499 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
500 |
fun thm b = if b then @{thm fst_snd} else @{thm snd_snd} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
501 |
fun mk_nth_conv _ 1 1 = refl |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
502 |
| mk_nth_conv _ _ 1 = @{thm fst_conv} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
503 |
| mk_nth_conv _ 2 2 = @{thm snd_conv} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
504 |
| mk_nth_conv b _ 2 = @{thm snd_conv} RS thm b |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
505 |
| mk_nth_conv b n m = mk_nth_conv false (n - 1) (m - 1) RS thm b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
506 |
in mk_nth_conv (not (m = n)) n m end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
507 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
508 |
fun mk_nthI 1 1 = @{thm TrueE[OF TrueI]} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
509 |
| mk_nthI n m = fold (curry op RS) (replicate (m - 1) @{thm sndI}) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
510 |
(if m = n then @{thm TrueE[OF TrueI]} else @{thm fstI}); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
511 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
512 |
fun mk_conjunctN 1 1 = @{thm TrueE[OF TrueI]} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
513 |
| mk_conjunctN _ 1 = conjunct1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
514 |
| mk_conjunctN 2 2 = conjunct2 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
515 |
| mk_conjunctN n m = conjunct2 RS (mk_conjunctN (n - 1) (m - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
516 |
|
49337 | 517 |
fun conj_dests n thm = map (fn k => thm RS mk_conjunctN n k) (1 upto n); |
518 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
519 |
fun mk_conjIN 1 = @{thm TrueE[OF TrueI]} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
520 |
| mk_conjIN n = mk_conjIN (n - 1) RSN (2, conjI); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
521 |
|
49075 | 522 |
fun mk_disjIN 1 1 = @{thm TrueE[OF TrueI]} |
523 |
| mk_disjIN _ 1 = disjI1 |
|
524 |
| mk_disjIN 2 2 = disjI2 |
|
525 |
| mk_disjIN n m = (mk_disjIN (n - 1) (m - 1)) RS disjI2; |
|
526 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
527 |
fun mk_ordLeq_csum 1 1 thm = thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
528 |
| mk_ordLeq_csum _ 1 thm = @{thm ordLeq_transitive} OF [thm, @{thm ordLeq_csum1}] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
529 |
| mk_ordLeq_csum 2 2 thm = @{thm ordLeq_transitive} OF [thm, @{thm ordLeq_csum2}] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
530 |
| mk_ordLeq_csum n m thm = @{thm ordLeq_transitive} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
531 |
[mk_ordLeq_csum (n - 1) (m - 1) thm, @{thm ordLeq_csum2[OF Card_order_csum]}]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
532 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
533 |
local |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
534 |
fun mk_Un_upper' 0 = subset_refl |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
535 |
| mk_Un_upper' 1 = @{thm Un_upper1} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
536 |
| mk_Un_upper' k = Library.foldr (op RS o swap) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
537 |
(replicate (k - 1) @{thm subset_trans[OF Un_upper1]}, @{thm Un_upper1}); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
538 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
539 |
fun mk_Un_upper 1 1 = subset_refl |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
540 |
| mk_Un_upper n 1 = mk_Un_upper' (n - 2) RS @{thm subset_trans[OF Un_upper1]} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
541 |
| mk_Un_upper n m = mk_Un_upper' (n - m) RS @{thm subset_trans[OF Un_upper2]}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
542 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
543 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
544 |
local |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
545 |
fun mk_UnN' 0 = @{thm UnI2} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
546 |
| mk_UnN' m = mk_UnN' (m - 1) RS @{thm UnI1}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
547 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
548 |
fun mk_UnN 1 1 = @{thm TrueE[OF TrueI]} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
549 |
| mk_UnN n 1 = Library.foldr1 (op RS o swap) (replicate (n - 1) @{thm UnI1}) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
550 |
| mk_UnN n m = mk_UnN' (n - m) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
551 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
552 |
|
49075 | 553 |
fun interleave xs ys = flat (map2 (fn x => fn y => [x, y]) xs ys); |
554 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
555 |
fun transpose [] = [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
556 |
| transpose ([] :: xss) = transpose xss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
557 |
| transpose xss = map hd xss :: transpose (map tl xss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
558 |
|
49212 | 559 |
fun seq_conds f n k xs = |
560 |
if k = n then |
|
561 |
map (f false) (take (k - 1) xs) |
|
562 |
else |
|
563 |
let val (negs, pos) = split_last (take k xs) in |
|
564 |
map (f false) negs @ [f true pos] |
|
565 |
end; |
|
566 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
567 |
fun mk_unabs_def 0 thm = thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
568 |
| mk_unabs_def n thm = mk_unabs_def (n - 1) thm RS @{thm spec[OF iffD1[OF fun_eq_iff]]}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
569 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
570 |
end; |