author | clasohm |
Wed, 04 Oct 1995 14:01:44 +0100 | |
changeset 1267 | bca91b4e1710 |
parent 1168 | 74be52691d62 |
child 1277 | caef3601c0b2 |
permissions | -rw-r--r-- |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
1 |
(* Title: HOLCF/sprod1.ML |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
2 |
ID: $Id$ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
3 |
Author: Franz Regensburger |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
4 |
Copyright 1993 Technische Universitaet Muenchen |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
5 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
6 |
Lemmas for theory sprod1.thy |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
7 |
*) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
8 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
9 |
open Sprod1; |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
10 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
11 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
12 |
(* reduction properties for less_sprod *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
13 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
14 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
15 |
|
892 | 16 |
qed_goalw "less_sprod1a" Sprod1.thy [less_sprod_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
17 |
"p1=Ispair UU UU ==> less_sprod p1 p2" |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
18 |
(fn prems => |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
19 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
20 |
(cut_facts_tac prems 1), |
1267 | 21 |
(Asm_simp_tac 1) |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
22 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
23 |
|
892 | 24 |
qed_goalw "less_sprod1b" Sprod1.thy [less_sprod_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
25 |
"p1~=Ispair UU UU ==> \ |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
26 |
\ less_sprod p1 p2 = ( Isfst p1 << Isfst p2 & Issnd p1 << Issnd p2)" |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
27 |
(fn prems => |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
28 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
29 |
(cut_facts_tac prems 1), |
1267 | 30 |
(Asm_simp_tac 1) |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
31 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
32 |
|
892 | 33 |
qed_goal "less_sprod2a" Sprod1.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
34 |
"less_sprod(Ispair x y)(Ispair UU UU) ==> x = UU | y = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
35 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
36 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
37 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
38 |
(rtac (excluded_middle RS disjE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
39 |
(atac 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
40 |
(rtac disjI1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
41 |
(rtac antisym_less 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
42 |
(rtac minimal 2), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
43 |
(res_inst_tac [("s","Isfst(Ispair x y)"),("t","x")] subst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
44 |
(rtac Isfst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
45 |
(fast_tac HOL_cs 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
46 |
(fast_tac HOL_cs 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
47 |
(res_inst_tac [("s","Isfst(Ispair UU UU)"),("t","UU")] subst 1), |
1267 | 48 |
(Simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
49 |
(rtac (defined_Ispair RS less_sprod1b RS iffD1 RS conjunct1) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
50 |
(REPEAT (fast_tac HOL_cs 1)) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
51 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
52 |
|
892 | 53 |
qed_goal "less_sprod2b" Sprod1.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
54 |
"less_sprod p (Ispair UU UU) ==> p = Ispair UU UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
55 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
56 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
57 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
58 |
(res_inst_tac [("p","p")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
59 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
60 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
61 |
(rtac strict_Ispair 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
62 |
(etac less_sprod2a 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
63 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
64 |
|
892 | 65 |
qed_goal "less_sprod2c" Sprod1.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
66 |
"[|less_sprod(Ispair xa ya)(Ispair x y);\ |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
67 |
\ xa ~= UU ; ya ~= UU; x ~= UU ; y ~= UU |] ==> xa << x & ya << y" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
68 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
69 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
70 |
(rtac conjI 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
71 |
(res_inst_tac [("s","Isfst(Ispair xa ya)"),("t","xa")] subst 1), |
1267 | 72 |
(simp_tac (!simpset addsimps prems)1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
73 |
(res_inst_tac [("s","Isfst(Ispair x y)"),("t","x")] subst 1), |
1267 | 74 |
(simp_tac (!simpset addsimps prems)1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
75 |
(rtac (defined_Ispair RS less_sprod1b RS iffD1 RS conjunct1) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
76 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
77 |
(resolve_tac prems 1), |
1267 | 78 |
(simp_tac (!simpset addsimps prems)1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
79 |
(res_inst_tac [("s","Issnd(Ispair xa ya)"),("t","ya")] subst 1), |
1267 | 80 |
(simp_tac (!simpset addsimps prems)1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
81 |
(res_inst_tac [("s","Issnd(Ispair x y)"),("t","y")] subst 1), |
1267 | 82 |
(simp_tac (!simpset addsimps prems)1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
83 |
(rtac (defined_Ispair RS less_sprod1b RS iffD1 RS conjunct2) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
84 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
85 |
(resolve_tac prems 1), |
1267 | 86 |
(simp_tac (!simpset addsimps prems)1) |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
87 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
88 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
89 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
90 |
(* less_sprod is a partial order on Sprod *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
91 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
92 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
93 |
qed_goal "refl_less_sprod" Sprod1.thy "less_sprod p p" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
94 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
95 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
96 |
(res_inst_tac [("p","p")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
97 |
(etac less_sprod1a 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
98 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
99 |
(rtac (less_sprod1b RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
100 |
(rtac defined_Ispair 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
101 |
(REPEAT (fast_tac (HOL_cs addIs [refl_less]) 1)) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
102 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
103 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
104 |
|
892 | 105 |
qed_goal "antisym_less_sprod" Sprod1.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
106 |
"[|less_sprod p1 p2;less_sprod p2 p1|] ==> p1=p2" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
107 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
108 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
109 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
110 |
(res_inst_tac [("p","p1")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
111 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
112 |
(res_inst_tac [("p","p2")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
113 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
114 |
(rtac refl 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
115 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
116 |
(rtac (strict_Ispair RS sym) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
117 |
(etac less_sprod2a 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
118 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
119 |
(res_inst_tac [("p","p2")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
120 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
121 |
(rtac (strict_Ispair) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
122 |
(etac less_sprod2a 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
123 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
124 |
(res_inst_tac [("x1","x"),("y1","xa"),("x","y"),("y","ya")] (arg_cong RS cong) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
125 |
(rtac antisym_less 1), |
1267 | 126 |
(asm_simp_tac (!simpset addsimps [less_sprod2c RS conjunct1]) 1), |
127 |
(asm_simp_tac (!simpset addsimps [less_sprod2c RS conjunct1]) 1), |
|
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
128 |
(rtac antisym_less 1), |
1267 | 129 |
(asm_simp_tac (!simpset addsimps [less_sprod2c RS conjunct2]) 1), |
130 |
(asm_simp_tac (!simpset addsimps [less_sprod2c RS conjunct2]) 1) |
|
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
131 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
132 |
|
892 | 133 |
qed_goal "trans_less_sprod" Sprod1.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
134 |
"[|less_sprod (p1::'a**'b) p2;less_sprod p2 p3|] ==> less_sprod p1 p3" |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
135 |
(fn prems => |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
136 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
137 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
138 |
(res_inst_tac [("p","p1")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
139 |
(etac less_sprod1a 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
140 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
141 |
(res_inst_tac [("p","p3")] IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
142 |
(hyp_subst_tac 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
143 |
(res_inst_tac [("s","p2"),("t","Ispair (UU::'a)(UU::'b)")] subst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
144 |
(etac less_sprod2b 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
145 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
146 |
(hyp_subst_tac 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
147 |
(res_inst_tac [("Q","p2=Ispair(UU::'a)(UU::'b)")] |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
148 |
(excluded_middle RS disjE) 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
149 |
(rtac (defined_Ispair RS less_sprod1b RS ssubst) 1), |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
150 |
(REPEAT (atac 1)), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
151 |
(rtac conjI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
152 |
(res_inst_tac [("y","Isfst(p2)")] trans_less 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
153 |
(rtac conjunct1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
154 |
(rtac (less_sprod1b RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
155 |
(rtac defined_Ispair 1), |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
156 |
(REPEAT (atac 1)), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
157 |
(rtac conjunct1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
158 |
(rtac (less_sprod1b RS subst) 1), |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
159 |
(REPEAT (atac 1)), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
160 |
(res_inst_tac [("y","Issnd(p2)")] trans_less 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
161 |
(rtac conjunct2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
162 |
(rtac (less_sprod1b RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
163 |
(rtac defined_Ispair 1), |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
164 |
(REPEAT (atac 1)), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
165 |
(rtac conjunct2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
166 |
(rtac (less_sprod1b RS subst) 1), |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
167 |
(REPEAT (atac 1)), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
168 |
(hyp_subst_tac 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
961
diff
changeset
|
169 |
(res_inst_tac [("s","Ispair(UU::'a)(UU::'b)"),("t","Ispair x y")] |
961
932784dfa671
Removed bugs which occurred due to new generation mechanism for type variables
regensbu
parents:
892
diff
changeset
|
170 |
subst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
171 |
(etac (less_sprod2b RS sym) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
172 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
173 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
174 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
175 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
176 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
177 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
178 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
179 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
180 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
181 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
182 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
183 |