--- a/src/HOL/Tools/BNF/bnf_fp_n2m_tactics.ML Thu Sep 18 16:47:40 2014 +0200
+++ b/src/HOL/Tools/BNF/bnf_fp_n2m_tactics.ML Thu Sep 18 16:47:40 2014 +0200
@@ -8,7 +8,7 @@
signature BNF_FP_N2M_TACTICS =
sig
val mk_rel_xtor_co_induct_tactic: BNF_Util.fp_kind -> thm list -> thm list -> thm list ->
- thm list -> thm list -> {prems: thm list, context: Proof.context} -> tactic
+ thm list -> thm list -> thm list -> {prems: thm list, context: Proof.context} -> tactic
end;
structure BNF_FP_N2M_Tactics : BNF_FP_N2M_TACTICS =
@@ -20,11 +20,13 @@
val vimage2p_unfolds = o_apply :: @{thms vimage2p_def};
-fun mk_rel_xtor_co_induct_tactic fp abs_inverses co_inducts0 rel_defs rel_monos nesting_rel_eqs
- {context = ctxt, prems = raw_C_IHs} =
+fun mk_rel_xtor_co_induct_tactic fp abs_inverses co_inducts0 rel_defs rel_monos nesting_rel_eqs0
+ nesting_rel_monos0 {context = ctxt, prems = raw_C_IHs} =
let
- val co_inducts = map (unfold_thms ctxt
- (vimage2p_unfolds @ @{thms prod.rel_eq sum.rel_eq} @ nesting_rel_eqs)) co_inducts0;
+ val nesting_rel_eqs = @{thms prod.rel_eq sum.rel_eq} @ nesting_rel_eqs0;
+ val nesting_rel_monos = map (fn thm => rotate_prems ~1 (thm RS @{thm predicate2D}))
+ (@{thms prod.rel_mono sum.rel_mono} @ nesting_rel_monos0);
+ val co_inducts = map (unfold_thms ctxt (vimage2p_unfolds @ nesting_rel_eqs)) co_inducts0;
val unfolds = map (fn def =>
unfold_thms ctxt (id_apply :: vimage2p_unfolds @ abs_inverses @ no_reflexive [def])) rel_defs;
val folded_C_IHs = map (fn thm => thm RS @{thm spec2} RS mp) raw_C_IHs;
@@ -41,7 +43,9 @@
HEADGOAL (CONJ_WRAP_GEN' (rtac @{thm context_conjI})
(fn thm => rtac thm THEN_ALL_NEW (rotate_tac ~1 THEN'
REPEAT_ALL_NEW (FIRST' [eresolve_tac C_IHs, eresolve_tac C_IH_monos,
- rtac @{thm order_refl}, atac, resolve_tac co_inducts])))
+ SELECT_GOAL (unfold_thms_tac ctxt nesting_rel_eqs) THEN' rtac @{thm order_refl},
+ atac, resolve_tac co_inducts,
+ resolve_tac C_IH_monos THEN' REPEAT_ALL_NEW (eresolve_tac nesting_rel_monos)])))
co_inducts)
end;