--- a/src/HOL/Tools/BNF/bnf_fp_def_sugar_tactics.ML Fri Feb 28 12:04:40 2014 +0100
+++ b/src/HOL/Tools/BNF/bnf_fp_def_sugar_tactics.ML Tue Feb 25 18:14:26 2014 +0100
@@ -12,17 +12,19 @@
val sum_prod_thms_rel: thm list
val mk_coinduct_tac: Proof.context -> thm list -> int -> int list -> thm -> thm list ->
- thm list -> thm list -> thm list list -> thm list list list -> thm list list list -> tactic
- val mk_coiter_tac: thm list -> thm list -> thm -> thm -> thm -> Proof.context -> tactic
+ thm list -> thm list -> thm list -> thm list -> thm list list -> thm list list list ->
+ thm list list list -> tactic
+ val mk_coiter_tac: thm list -> thm list -> thm -> thm -> thm -> thm -> Proof.context -> tactic
val mk_ctor_iff_dtor_tac: Proof.context -> ctyp option list -> cterm -> cterm -> thm -> thm ->
tactic
val mk_disc_coiter_iff_tac: thm list -> thm list -> thm list -> Proof.context -> tactic
val mk_exhaust_tac: Proof.context -> int -> thm list -> thm -> thm -> tactic
- val mk_half_distinct_tac: Proof.context -> thm -> thm list -> tactic
+ val mk_half_distinct_tac: Proof.context -> thm -> thm -> thm list -> tactic
val mk_induct_tac: Proof.context -> int -> int list -> int list list -> int list list list ->
- thm list -> thm -> thm list -> thm list list -> tactic
- val mk_inject_tac: Proof.context -> thm -> thm -> tactic
- val mk_iter_tac: thm list -> thm list -> thm list -> thm -> thm -> Proof.context -> tactic
+ thm list -> thm -> thm list -> thm list -> thm list -> thm list list -> tactic
+ val mk_inject_tac: Proof.context -> thm -> thm -> thm -> tactic
+ val mk_iter_tac: thm list -> thm list -> thm list -> thm -> thm -> thm -> thm -> Proof.context ->
+ tactic
end;
structure BNF_FP_Def_Sugar_Tactics : BNF_FP_DEF_SUGAR_TACTICS =
@@ -75,31 +77,35 @@
SELECT_GOAL (unfold_thms_tac ctxt [th]) THEN'
atac) [rev cTs, cTs] [cdtor, cctor] [dtor_ctor, ctor_dtor]));
-fun mk_half_distinct_tac ctxt ctor_inject ctr_defs =
- unfold_thms_tac ctxt (ctor_inject :: @{thms sum.inject} @ ctr_defs) THEN
+fun mk_half_distinct_tac ctxt ctor_inject abs_inject ctr_defs =
+ unfold_thms_tac ctxt (ctor_inject :: abs_inject :: @{thms sum.inject} @ ctr_defs) THEN
HEADGOAL (rtac @{thm sum.distinct(1)});
-fun mk_inject_tac ctxt ctr_def ctor_inject =
- unfold_thms_tac ctxt [ctr_def] THEN HEADGOAL (rtac (ctor_inject RS ssubst)) THEN
- unfold_thms_tac ctxt @{thms sum.inject Pair_eq conj_assoc} THEN HEADGOAL (rtac refl);
+fun mk_inject_tac ctxt ctr_def ctor_inject abs_inject =
+ unfold_thms_tac ctxt [ctr_def] THEN
+ HEADGOAL (rtac (ctor_inject RS ssubst)) THEN
+ unfold_thms_tac ctxt (abs_inject :: @{thms sum.inject Pair_eq conj_assoc}) THEN
+ HEADGOAL (rtac refl);
val iter_unfold_thms =
@{thms comp_def convol_def fst_conv id_def case_prod_Pair_iden snd_conv split_conv
case_unit_Unity} @ sum_prod_thms_map;
-fun mk_iter_tac pre_map_defs map_idents iter_defs ctor_iter ctr_def ctxt =
- unfold_thms_tac ctxt (ctr_def :: ctor_iter :: iter_defs @ pre_map_defs @ map_idents @
- iter_unfold_thms) THEN HEADGOAL (rtac refl);
+fun mk_iter_tac pre_map_defs map_idents iter_defs ctor_iter fp_abs_inverse abs_inverse ctr_def ctxt =
+ unfold_thms_tac ctxt (ctr_def :: ctor_iter :: fp_abs_inverse :: abs_inverse :: iter_defs @
+ pre_map_defs @ map_idents @ iter_unfold_thms) THEN HEADGOAL (rtac refl);
val coiter_unfold_thms = @{thms id_def} @ sum_prod_thms_map;
-val ss_if_True_False = simpset_of (ss_only @{thms if_True if_False} @{context});
-fun mk_coiter_tac coiter_defs map_idents ctor_dtor_coiter pre_map_def ctr_def ctxt =
- unfold_thms_tac ctxt (ctr_def :: coiter_defs) THEN
- HEADGOAL (rtac (ctor_dtor_coiter RS trans) THEN'
- asm_simp_tac (put_simpset ss_if_True_False ctxt)) THEN_MAYBE
- (unfold_thms_tac ctxt (pre_map_def :: map_idents @ coiter_unfold_thms) THEN
- HEADGOAL (rtac refl ORELSE' rtac (@{thm unit_eq} RS arg_cong)));
+fun mk_coiter_tac coiter_defs map_idents ctor_dtor_coiter pre_map_def abs_inverse ctr_def ctxt =
+ let
+ val ss = ss_only (pre_map_def :: abs_inverse :: map_idents @ coiter_unfold_thms @
+ @{thms o_apply vimage2p_def if_True if_False}) ctxt;
+ in
+ unfold_thms_tac ctxt (ctr_def :: coiter_defs) THEN
+ HEADGOAL (rtac (ctor_dtor_coiter RS trans) THEN' asm_simp_tac ss) THEN_MAYBE
+ HEADGOAL (rtac refl ORELSE' rtac (@{thm unit_eq} RS arg_cong))
+ end;
fun mk_disc_coiter_iff_tac case_splits' coiters discs ctxt =
EVERY (map3 (fn case_split_tac => fn coiter_thm => fn disc =>
@@ -113,35 +119,43 @@
hyp_subst_tac ctxt ORELSE' resolve_tac @{thms disjI1 disjI2}) THEN'
(rtac refl ORELSE' atac ORELSE' rtac @{thm singletonI});
-fun mk_induct_leverage_prem_prems_tac ctxt nn kks set_maps pre_set_defs =
+fun mk_induct_leverage_prem_prems_tac ctxt nn kks fp_abs_inverses abs_inverses set_maps
+ pre_set_defs =
HEADGOAL (EVERY' (maps (fn kk => [select_prem_tac nn (dtac meta_spec) kk, etac meta_mp,
- SELECT_GOAL (unfold_thms_tac ctxt (pre_set_defs @ set_maps @ sum_prod_thms_set0)),
+ SELECT_GOAL (unfold_thms_tac ctxt (pre_set_defs @ fp_abs_inverses @ abs_inverses @ set_maps @
+ sum_prod_thms_set0)),
solve_prem_prem_tac ctxt]) (rev kks)));
-fun mk_induct_discharge_prem_tac ctxt nn n set_maps pre_set_defs m k kks =
+fun mk_induct_discharge_prem_tac ctxt nn n fp_abs_inverses abs_inverses set_maps pre_set_defs m k
+ kks =
let val r = length kks in
HEADGOAL (EVERY' [select_prem_tac n (rotate_tac 1) k, rotate_tac ~1, hyp_subst_tac ctxt,
REPEAT_DETERM_N m o (dtac meta_spec THEN' rotate_tac ~1)]) THEN
EVERY [REPEAT_DETERM_N r
(HEADGOAL (rotate_tac ~1 THEN' dtac meta_mp THEN' rotate_tac 1) THEN prefer_tac 2),
if r > 0 then ALLGOALS (Goal.norm_hhf_tac ctxt) else all_tac, HEADGOAL atac,
- mk_induct_leverage_prem_prems_tac ctxt nn kks set_maps pre_set_defs]
+ mk_induct_leverage_prem_prems_tac ctxt nn kks fp_abs_inverses abs_inverses set_maps
+ pre_set_defs]
end;
-fun mk_induct_tac ctxt nn ns mss kkss ctr_defs ctor_induct' set_maps pre_set_defss =
+fun mk_induct_tac ctxt nn ns mss kkss ctr_defs ctor_induct' fp_abs_inverses abs_inverses set_maps
+ pre_set_defss =
let val n = Integer.sum ns in
unfold_thms_tac ctxt ctr_defs THEN HEADGOAL (rtac ctor_induct') THEN
co_induct_inst_as_projs_tac ctxt 0 THEN
- EVERY (map4 (EVERY oooo map3 o mk_induct_discharge_prem_tac ctxt nn n set_maps) pre_set_defss
- mss (unflat mss (1 upto n)) kkss)
+ EVERY (map4 (EVERY oooo map3 o
+ mk_induct_discharge_prem_tac ctxt nn n fp_abs_inverses abs_inverses set_maps)
+ pre_set_defss mss (unflat mss (1 upto n)) kkss)
end;
-fun mk_coinduct_same_ctr_tac ctxt rel_eqs pre_rel_def dtor_ctor ctr_def discs sels =
+fun mk_coinduct_same_ctr_tac ctxt rel_eqs pre_rel_def fp_abs_inverse abs_inverse dtor_ctor ctr_def
+ discs sels =
hyp_subst_tac ctxt THEN'
CONVERSION (hhf_concl_conv
(Conv.top_conv (K (Conv.try_conv (Conv.rewr_conv ctr_def))) ctxt) ctxt) THEN'
SELECT_GOAL (unfold_thms_tac ctxt (pre_rel_def :: dtor_ctor :: sels)) THEN'
- SELECT_GOAL (unfold_thms_tac ctxt (pre_rel_def :: dtor_ctor :: sels @ sum_prod_thms_rel)) THEN'
+ SELECT_GOAL (unfold_thms_tac ctxt (pre_rel_def :: fp_abs_inverse :: abs_inverse :: dtor_ctor ::
+ sels @ sum_prod_thms_rel @ @{thms o_apply vimage2p_def})) THEN'
(atac ORELSE' REPEAT o etac conjE THEN'
full_simp_tac
(ss_only (@{thm prod.inject} :: no_refl discs @ rel_eqs @ more_simp_thms) ctxt) THEN'
@@ -157,8 +171,8 @@
full_simp_tac (ss_only (refl :: no_refl discs'' @ basic_simp_thms) ctxt)
end;
-fun mk_coinduct_discharge_prem_tac ctxt rel_eqs' nn kk n pre_rel_def dtor_ctor exhaust ctr_defs
- discss selss =
+fun mk_coinduct_discharge_prem_tac ctxt rel_eqs' nn kk n pre_rel_def fp_abs_inverse abs_inverse
+ dtor_ctor exhaust ctr_defs discss selss =
let val ks = 1 upto n in
EVERY' ([rtac allI, rtac allI, rtac impI, select_prem_tac nn (dtac meta_spec) kk,
dtac meta_spec, dtac meta_mp, atac, rtac exhaust, K (co_induct_inst_as_projs_tac ctxt 0),
@@ -167,15 +181,17 @@
EVERY' ([rtac exhaust, K (co_induct_inst_as_projs_tac ctxt 1)] @
map2 (fn k' => fn discs' =>
if k' = k then
- mk_coinduct_same_ctr_tac ctxt rel_eqs' pre_rel_def dtor_ctor ctr_def discs sels
+ mk_coinduct_same_ctr_tac ctxt rel_eqs' pre_rel_def fp_abs_inverse abs_inverse
+ dtor_ctor ctr_def discs sels
else
mk_coinduct_distinct_ctrs_tac ctxt discs discs') ks discss)) ks ctr_defs discss selss)
end;
-fun mk_coinduct_tac ctxt rel_eqs' nn ns dtor_coinduct' pre_rel_defs dtor_ctors exhausts ctr_defss
- discsss selsss =
+fun mk_coinduct_tac ctxt rel_eqs' nn ns dtor_coinduct' pre_rel_defs fp_abs_inverses abs_inverses
+ dtor_ctors exhausts ctr_defss discsss selsss =
HEADGOAL (rtac dtor_coinduct' THEN'
- EVERY' (map8 (mk_coinduct_discharge_prem_tac ctxt rel_eqs' nn)
- (1 upto nn) ns pre_rel_defs dtor_ctors exhausts ctr_defss discsss selsss));
+ EVERY' (map10 (mk_coinduct_discharge_prem_tac ctxt rel_eqs' nn)
+ (1 upto nn) ns pre_rel_defs fp_abs_inverses abs_inverses dtor_ctors exhausts ctr_defss discsss
+ selsss));
end;