src/HOL/MiniML/I.ML
author clasohm
Tue, 30 Jan 1996 15:24:36 +0100
changeset 1465 5d7a7e439cec
parent 1400 5d909faf0e04
child 1486 7b95d7b49f7a
permissions -rw-r--r--
expanded tabs
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     1
open I;
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     2
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     3
Unify.trace_bound := 45;
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     4
Unify.search_bound := 50;
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     5
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     6
goal thy
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     7
  "! a m s s' t n.  \
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     8
\    (new_tv m a & new_tv m s) --> I e a m s = Ok(s',t,n) -->   \
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
     9
\    ( ? r. W e ($ s a) m = Ok(r, $ s' t, n) & s' = ($ r o s) )";
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    10
by (expr.induct_tac "e" 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    11
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    12
(* case Var n *)
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    13
by (simp_tac (!simpset addsimps [app_subst_list]
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    14
    setloop (split_tac [expand_if])) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    15
by (fast_tac (HOL_cs addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    16
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    17
(* case Abs e *)
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    18
by (asm_full_simp_tac (!simpset setloop (split_tac [expand_bind])) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    19
by (strip_tac 1);
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    20
by (rtac conjI 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    21
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    22
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    23
by (REPEAT (etac allE 1));
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    24
by (etac impE 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    25
by (fast_tac (HOL_cs addss (!simpset addsimps [new_tv_subst])) 2);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    26
by (fast_tac (HOL_cs addIs [new_tv_Suc_list RS mp,new_tv_subst_le,
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    27
    less_imp_le,lessI]) 1); 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    28
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    29
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    30
by (REPEAT (etac allE 1));
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    31
by (etac impE 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    32
by (fast_tac (HOL_cs addss (!simpset addsimps [new_tv_subst])) 2);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    33
by (fast_tac (HOL_cs addIs [new_tv_Suc_list RS mp,new_tv_subst_le,
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    34
    less_imp_le,lessI]) 1); 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    35
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    36
(* case App e1 e2 *)
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    37
by (simp_tac (!simpset setloop (split_tac [expand_bind])) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    38
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    39
by (rename_tac "s1' t1 n1 s2' t2 n2 sa" 1);
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    40
by (rtac conjI 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    41
by (fast_tac (HOL_cs addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    42
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    43
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    44
by (rename_tac "s1 t1' n1'" 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    45
by (eres_inst_tac [("x","a")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    46
by (eres_inst_tac [("x","m")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    47
by (eres_inst_tac [("x","s")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    48
by (eres_inst_tac [("x","s1'")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    49
by (eres_inst_tac [("x","t1")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    50
by (eres_inst_tac [("x","n1")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    51
by (eres_inst_tac [("x","a")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    52
by (eres_inst_tac [("x","n1")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    53
by (eres_inst_tac [("x","s1'")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    54
by (eres_inst_tac [("x","s2'")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    55
by (eres_inst_tac [("x","t2")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    56
by (eres_inst_tac [("x","n2")] allE 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    57
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    58
by (rtac conjI 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    59
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    60
by (mp_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    61
by (mp_tac 1);
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    62
by (etac exE 1);
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    63
by (etac conjE 1);
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    64
by (etac impE 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    65
by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    66
by ((dres_inst_tac [("xc","$ s a")] new_tv_W 1) THEN (atac 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    67
by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    68
    addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    69
by (fast_tac (HOL_cs addss (!simpset addsimps [subst_comp_tel])) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    70
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    71
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    72
by (rename_tac "s2 t2' n2'" 1);
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    73
by (rtac conjI 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    74
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    75
by (mp_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    76
by (mp_tac 1);
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    77
by (etac exE 1);
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    78
by (etac conjE 1);
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    79
by (etac impE 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    80
by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    81
by ((dres_inst_tac [("xc","$ s a")] new_tv_W 1) THEN (atac 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    82
by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    83
    addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    84
by (fast_tac (HOL_cs addss (!simpset addsimps [subst_comp_tel,subst_comp_te])) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    85
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    86
by (strip_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    87
by (mp_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    88
by (mp_tac 1);
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    89
by (etac exE 1);
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    90
by (etac conjE 1);
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
    91
by (etac impE 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    92
by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    93
by ((dres_inst_tac [("xc","$ s a")] new_tv_W 1) THEN (atac 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    94
by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    95
    addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    96
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    97
by (mp_tac 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    98
by (REPEAT (eresolve_tac [exE,conjE] 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
    99
by (REPEAT 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   100
    ((asm_full_simp_tac (!simpset addsimps [subst_comp_tel,subst_comp_te]) 1) THEN
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   101
     (REPEAT (etac conjE 1)) THEN (hyp_subst_tac 1) ));
1465
5d7a7e439cec expanded tabs
clasohm
parents: 1400
diff changeset
   102
by (rtac exI 1);
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   103
by (safe_tac HOL_cs);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   104
by (fast_tac HOL_cs 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   105
by (Simp_tac 2);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   106
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   107
by (subgoal_tac "new_tv n2 s & new_tv n2 r & new_tv n2 ra" 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   108
by (asm_full_simp_tac (!simpset addsimps [new_tv_subst]) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   109
by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   110
by ((dres_inst_tac [("xc","$ s a")] new_tv_W 1) THEN (atac 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   111
by (safe_tac HOL_cs);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   112
by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   113
    addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   114
by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   115
    addss !simpset) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   116
by (dres_inst_tac [("e","expr1")] (sym RS W_var_geD) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   117
by ((dtac new_tv_subst_tel 1) THEN (atac 1));
1400
5d909faf0e04 Introduced Monad syntax Pat := Val; Cont
nipkow
parents: 1300
diff changeset
   118
by ((dres_inst_tac [("ts","$ s a")] new_tv_list_le 1) THEN (atac 1));
1300
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   119
by ((dtac new_tv_subst_tel 1) THEN (atac 1));
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   120
by (fast_tac (HOL_cs addDs [new_tv_W] addss 
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   121
    (!simpset addsimps [subst_comp_tel])) 1);
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   122
c7a8f374339b New theory: type inference for let-free MiniML
nipkow
parents:
diff changeset
   123
qed "I_correct_wrt_W";