author  wenzelm 
Mon, 11 Apr 2016 15:07:15 +0200  
changeset 62953  48d935524988 
parent 62775  b486f512a471 
child 62956  bb3986d95562 
permissions  rwrr 
37744  1 
(* Title: HOL/Tools/Quotient/quotient_def.ML 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

2 
Author: Cezary Kaliszyk and Christian Urban 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

3 

35788  4 
Definitions for constants on quotient types. 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

5 
*) 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

6 

4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

7 
signature QUOTIENT_DEF = 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

8 
sig 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

9 
val add_quotient_def: 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

10 
((binding * mixfix) * Attrib.binding) * (term * term) > thm > 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

11 
local_theory > Quotient_Info.quotconsts * local_theory 
45598  12 
val quotient_def: 
13 
(binding * typ option * mixfix) option * (Attrib.binding * (term * term)) > 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

14 
local_theory > Proof.state 
45598  15 
val quotient_def_cmd: 
16 
(binding * string option * mixfix) option * (Attrib.binding * (string * string)) > 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

17 
local_theory > Proof.state 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

18 
end; 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

19 

4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

20 
structure Quotient_Def: QUOTIENT_DEF = 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

21 
struct 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

22 

4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

23 
(** Interface and Syntax Setup **) 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

24 

47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

25 
(* Generation of the code certificate from the rsp theorem *) 
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

26 

47698  27 
open Lifting_Util 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

28 

47698  29 
infix 0 MRSL 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

30 

35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

31 
(* The MLinterface for a quotient definition takes 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

32 
as argument: 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

33 

4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

34 
 an optional binding and mixfix annotation 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

35 
 attributes 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

36 
 the new constant as term 
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

37 
 the rhs of the definition as term 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

38 
 respectfulness theorem for the rhs 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

39 

45279  40 
It stores the qconst_info in the quotconsts data slot. 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

41 

41444  42 
Restriction: At the moment the left and righthand 
43 
side of the definition must be a constant. 

35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

44 
*) 
41444  45 
fun error_msg bind str = 
46 
let 

47 
val name = Binding.name_of bind 

48992  48 
val pos = Position.here (Binding.pos_of bind) 
41444  49 
in 
50 
error ("Head of quotient_definition " ^ 

51 
quote str ^ " differs from declaration " ^ name ^ pos) 

52 
end 

35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

53 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

54 
fun add_quotient_def ((var, (name, atts)), (lhs, rhs)) rsp_thm lthy = 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

55 
let 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

56 
val rty = fastype_of rhs 
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

57 
val qty = fastype_of lhs 
60379  58 
val absrep_trm = 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

59 
Quotient_Term.absrep_fun lthy Quotient_Term.AbsF (rty, qty) $ rhs 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

60 
val prop = Syntax.check_term lthy (Logic.mk_equals (lhs, absrep_trm)) 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

61 
val (_, prop') = Local_Defs.cert_def lthy prop 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

62 
val (_, newrhs) = Local_Defs.abs_def prop' 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

63 

47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

64 
val ((trm, (_ , def_thm)), lthy') = 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

65 
Local_Theory.define (var, ((Thm.def_binding_optional (#1 var) name, atts), newrhs)) lthy 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

66 

d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

67 
(* data storage *) 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

68 
val qconst_data = {qconst = trm, rconst = rhs, def = def_thm} 
60379  69 

47198
cfd8ff62eab1
use qualified names for rsp and rep_eq theorems in quotient_def
kuncar
parents:
47181
diff
changeset

70 
fun qualify defname suffix = Binding.name suffix 
cfd8ff62eab1
use qualified names for rsp and rep_eq theorems in quotient_def
kuncar
parents:
47181
diff
changeset

71 
> Binding.qualify true defname 
cfd8ff62eab1
use qualified names for rsp and rep_eq theorems in quotient_def
kuncar
parents:
47181
diff
changeset

72 

cfd8ff62eab1
use qualified names for rsp and rep_eq theorems in quotient_def
kuncar
parents:
47181
diff
changeset

73 
val lhs_name = Binding.name_of (#1 var) 
cfd8ff62eab1
use qualified names for rsp and rep_eq theorems in quotient_def
kuncar
parents:
47181
diff
changeset

74 
val rsp_thm_name = qualify lhs_name "rsp" 
60379  75 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

76 
val lthy'' = lthy' 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

77 
> Local_Theory.declaration {syntax = false, pervasive = true} 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

78 
(fn phi => 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

79 
(case Quotient_Info.transform_quotconsts phi qconst_data of 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

80 
qcinfo as {qconst = Const (c, _), ...} => 
59157  81 
Quotient_Info.update_quotconsts (c, qcinfo) 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

82 
 _ => I)) 
60379  83 
> (snd oo Local_Theory.note) 
57960  84 
((rsp_thm_name, @{attributes [quot_respect]}), [rsp_thm]) 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

85 
in 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

86 
(qconst_data, lthy'') 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

87 
end 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

88 

d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

89 
fun mk_readable_rsp_thm_eq tm lthy = 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

90 
let 
59621
291934bac95e
Thm.cterm_of and Thm.ctyp_of operate on local context;
wenzelm
parents:
59582
diff
changeset

91 
val ctm = Thm.cterm_of lthy tm 
60379  92 

93 
fun norm_fun_eq ctm = 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

94 
let 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

95 
fun abs_conv2 cv = Conv.abs_conv (K (Conv.abs_conv (K cv) lthy)) lthy 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

96 
fun erase_quants ctm' = 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

97 
case (Thm.term_of ctm') of 
47181
b351ad77eb78
some tuning while reviewing the current state of the quotient_def package
bulwahn
parents:
47156
diff
changeset

98 
Const (@{const_name HOL.eq}, _) $ _ $ _ => Conv.all_conv ctm' 
60379  99 
 _ => (Conv.binder_conv (K erase_quants) lthy then_conv 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

100 
Conv.rewr_conv @{thm fun_eq_iff[symmetric, THEN eq_reflection]}) ctm' 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

101 
in 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

102 
(abs_conv2 erase_quants then_conv Thm.eta_conversion) ctm 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

103 
end 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

104 

d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

105 
fun simp_arrows_conv ctm = 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

106 
let 
60379  107 
val unfold_conv = Conv.rewrs_conv 
108 
[@{thm rel_fun_eq_eq_onp[THEN eq_reflection]}, @{thm rel_fun_eq_rel[THEN eq_reflection]}, 

55945  109 
@{thm rel_fun_def[THEN eq_reflection]}] 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

110 
val left_conv = simp_arrows_conv then_conv Conv.try_conv norm_fun_eq 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

111 
fun binop_conv2 cv1 cv2 = Conv.combination_conv (Conv.arg_conv cv1) cv2 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

112 
in 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

113 
case (Thm.term_of ctm) of 
60379  114 
Const (@{const_name rel_fun}, _) $ _ $ _ => 
47181
b351ad77eb78
some tuning while reviewing the current state of the quotient_def package
bulwahn
parents:
47156
diff
changeset

115 
(binop_conv2 left_conv simp_arrows_conv then_conv unfold_conv) ctm 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

116 
 _ => Conv.all_conv ctm 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

117 
end 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

118 

60379  119 
val unfold_ret_val_invs = Conv.bottom_conv 
120 
(K (Conv.try_conv (Conv.rewr_conv @{thm eq_onp_same_args[THEN eq_reflection]}))) lthy 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

121 
val simp_conv = Conv.arg_conv (Conv.fun2_conv simp_arrows_conv) 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

122 
val univq_conv = Conv.rewr_conv @{thm HOL.all_simps(6)[symmetric, THEN eq_reflection]} 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

123 
val univq_prenex_conv = Conv.top_conv (K (Conv.try_conv univq_conv)) lthy 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

124 
val beta_conv = Thm.beta_conversion true 
60379  125 
val eq_thm = 
47096
3ea48c19673e
generation of a code certificate from a respectfulness theorem for constants lifted by the quotient_definition command & setup_lifting command: setups Quotient infrastructure from a typedef theorem
kuncar
parents:
47091
diff
changeset

126 
(simp_conv then_conv univq_prenex_conv then_conv beta_conv then_conv unfold_ret_val_invs) ctm 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

127 
in 
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
50902
diff
changeset

128 
Object_Logic.rulify lthy (eq_thm RS Drule.equal_elim_rule2) 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

129 
end 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

130 

d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

131 

60379  132 
fun gen_quotient_def prep_var parse_term (raw_var, (attr, (raw_lhs, raw_rhs))) lthy = 
41444  133 
let 
60379  134 
val (opt_var, ctxt) = 
135 
(case raw_var of 

136 
NONE => (NONE, lthy) 

62775
b486f512a471
proper objectlogic constraint (amending dd2914250ca7);
wenzelm
parents:
60752
diff
changeset

137 
 SOME var => 
b486f512a471
proper objectlogic constraint (amending dd2914250ca7);
wenzelm
parents:
60752
diff
changeset

138 
Proof_Context.set_object_logic_constraint lthy 
b486f512a471
proper objectlogic constraint (amending dd2914250ca7);
wenzelm
parents:
60752
diff
changeset

139 
> prep_var var 
b486f512a471
proper objectlogic constraint (amending dd2914250ca7);
wenzelm
parents:
60752
diff
changeset

140 
> Proof_Context.restore_object_logic_constraint lthy 
b486f512a471
proper objectlogic constraint (amending dd2914250ca7);
wenzelm
parents:
60752
diff
changeset

141 
>> SOME) 
60379  142 
val lhs_constraint = (case opt_var of SOME (_, SOME T, _) => T  _ => dummyT) 
143 

144 
fun prep_term T = parse_term ctxt #> Type.constraint T #> Syntax.check_term ctxt; 

145 
val lhs = prep_term lhs_constraint raw_lhs 

146 
val rhs = prep_term dummyT raw_rhs 

43608
294570668f25
parse term in auxiliary context augmented with variable;
krauss
parents:
42494
diff
changeset

147 

62953  148 
val (lhs_str, lhs_ty) = dest_Free lhs handle TERM _ => error "Constant already defined" 
41444  149 
val _ = if null (strip_abs_vars rhs) then () else error "The definiens cannot be an abstraction" 
150 
val _ = if is_Const rhs then () else warning "The definiens is not a constant" 

35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

151 

43608
294570668f25
parse term in auxiliary context augmented with variable;
krauss
parents:
42494
diff
changeset

152 
val var = 
60379  153 
(case opt_var of 
154 
NONE => (Binding.name lhs_str, NoSyn) 

155 
 SOME (binding, _, mx) => 

43608
294570668f25
parse term in auxiliary context augmented with variable;
krauss
parents:
42494
diff
changeset

156 
if Variable.check_name binding = lhs_str then (binding, mx) 
60379  157 
else error_msg binding lhs_str); 
158 

159 
fun try_to_prove_refl thm = 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

160 
let 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

161 
val lhs_eq = 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

162 
thm 
59582  163 
> Thm.prop_of 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

164 
> Logic.dest_implies 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

165 
> fst 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

166 
> strip_all_body 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

167 
> try HOLogic.dest_Trueprop 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

168 
in 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

169 
case lhs_eq of 
47181
b351ad77eb78
some tuning while reviewing the current state of the quotient_def package
bulwahn
parents:
47156
diff
changeset

170 
SOME (Const (@{const_name HOL.eq}, _) $ _ $ _) => SOME (@{thm refl} RS thm) 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

171 
 SOME _ => (case body_type (fastype_of lhs) of 
50902
cb2b940e2fdf
avoid handling arbitrary exceptions, notably physical interrupts that would make the program erratic;
wenzelm
parents:
48992
diff
changeset

172 
Type (typ_name, _) => 
cb2b940e2fdf
avoid handling arbitrary exceptions, notably physical interrupts that would make the program erratic;
wenzelm
parents:
48992
diff
changeset

173 
try (fn () => 
60379  174 
#equiv_thm (the (Quotient_Info.lookup_quotients lthy typ_name)) 
50902
cb2b940e2fdf
avoid handling arbitrary exceptions, notably physical interrupts that would make the program erratic;
wenzelm
parents:
48992
diff
changeset

175 
RS @{thm Equiv_Relations.equivp_reflp} RS thm) () 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

176 
 _ => NONE 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

177 
) 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

178 
 _ => NONE 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

179 
end 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

180 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

181 
val rsp_rel = Quotient_Term.equiv_relation lthy (fastype_of rhs, lhs_ty) 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

182 
val internal_rsp_tm = HOLogic.mk_Trueprop (Syntax.check_term lthy (rsp_rel $ rhs $ rhs)) 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

183 
val readable_rsp_thm_eq = mk_readable_rsp_thm_eq internal_rsp_tm lthy 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

184 
val maybe_proven_rsp_thm = try_to_prove_refl readable_rsp_thm_eq 
59582  185 
val (readable_rsp_tm, _) = Logic.dest_implies (Thm.prop_of readable_rsp_thm_eq) 
60379  186 

187 
fun after_qed thm_list lthy = 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

188 
let 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

189 
val internal_rsp_thm = 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

190 
case thm_list of 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

191 
[] => the maybe_proven_rsp_thm 
60379  192 
 [[thm]] => Goal.prove ctxt [] [] internal_rsp_tm 
60752  193 
(fn _ => 
194 
resolve_tac ctxt [readable_rsp_thm_eq] 1 THEN 

195 
Proof_Context.fact_tac ctxt [thm] 1) 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

196 
in 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

197 
snd (add_quotient_def ((var, attr), (lhs, rhs)) internal_rsp_thm lthy) 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

198 
end 
41444  199 
in 
47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

200 
case maybe_proven_rsp_thm of 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

201 
SOME _ => Proof.theorem NONE after_qed [] lthy 
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

202 
 NONE => Proof.theorem NONE after_qed [[(readable_rsp_tm,[])]] lthy 
41444  203 
end 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

204 

60379  205 
val quotient_def = gen_quotient_def Proof_Context.cert_var (K I) 
206 
val quotient_def_cmd = gen_quotient_def Proof_Context.read_var Syntax.parse_term 

43608
294570668f25
parse term in auxiliary context augmented with variable;
krauss
parents:
42494
diff
changeset

207 

35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

208 

60669  209 
(* command syntax *) 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

210 

4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

211 
val _ = 
59936
b8ffc3dc9e24
@{command_spec} is superseded by @{command_keyword};
wenzelm
parents:
59621
diff
changeset

212 
Outer_Syntax.local_theory_to_proof @{command_keyword quotient_definition} 
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset

213 
"definition for constants over the quotient type" 
60669  214 
(Scan.option Parse_Spec.constdecl  
215 
Parse.!!! (Parse_Spec.opt_thm_name ":"  (Parse.term  (@{keyword "is"}  Parse.term))) 

216 
>> quotient_def_cmd); 

47091
d5cd13aca90b
respectfulness theorem has to be proved if a new constant is lifted by quotient_definition
kuncar
parents:
46961
diff
changeset

217 

60669  218 
end; 