Mercurial > cpdt > repo
diff src/Intensional.v @ 188:aec05464fedd
Automated ccExp_correct
author | Adam Chlipala <adamc@hcoop.net> |
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date | Mon, 17 Nov 2008 10:31:22 -0500 |
parents | 71c076dd5f31 |
children | 0198181d1b64 |
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--- a/src/Intensional.v Mon Nov 17 10:22:40 2008 -0500 +++ b/src/Intensional.v Mon Nov 17 10:31:22 2008 -0500 @@ -995,49 +995,41 @@ Hint Rewrite spliceFuncs_correct unpackExp_correct : cpdt. Hint Resolve packExp_correct lookup_type_inner. - induction 1; crush. - - match goal with - | [ IH : _, Hlr : lr ?T ?X1 ?X2, ENV : list Source.type, F2 : natvar _ -> _ |- _ ] => - apply (IH X1 (length ENV) (T :: ENV) (true, snd (fvsExp (F2 (length ENV)) (T :: ENV)))) - end. - - crush. - match goal with - | [ Hlt : forall t v1 v2, _ -> _ < _, Hin : In _ _ |- _ ] => - generalize (Hlt _ _ _ Hin); crush - end. - - crush; - match goal with - | [ |- context[match ?pf with refl_equal => _ end] ] => generalize pf - end; simpl; - match goal with - | [ |- context[if ?E then _ else _] ] => destruct E - end; intuition; subst; - try match goal with - | [ |- context[match ?pf with refl_equal => _ end] ] => rewrite (UIP_refl _ _ pf); assumption - | [ Hlt : forall t v1 v2, _ -> _ < _, Hin : In (existT _ _ (_, length _)) _ |- _ ] => - generalize (Hlt _ _ _ Hin); crush - end. - - generalize (H2 _ _ _ H5 (lookup_type_inner wf pf)); clear_all. - repeat match goal with - | [ |- context[match ?pf with refl_equal => _ end] ] => generalize pf - end; simpl. - generalize (packExp_correct _ fvs (inclusion wf) env pf); simpl. - match goal with - | [ |- ?X == ?Y -> _ ] => - generalize X Y - end. - rewrite pf. - rewrite (lookup_type_inner wf pf). - crush. - repeat match goal with - | [ H : _ = _ |- _ ] => rewrite (UIP_refl _ _ H) in * - end. - rewrite <- H. - assumption. + induction 1; crush; + match goal with + | [ IH : _, Hlr : lr ?T ?X1 ?X2, ENV : list Source.type, F2 : natvar _ -> _ |- _ ] => + apply (IH X1 (length ENV) (T :: ENV) (true, snd (fvsExp (F2 (length ENV)) (T :: ENV)))) + end; crush; + match goal with + | [ Hlt : forall t v1 v2, _ -> _ < _, Hin : In _ _ |- _ ] => + solve [ generalize (Hlt _ _ _ Hin); crush ] + | [ |- context[match ?pf with refl_equal => _ end] ] => generalize pf + end; simpl; + match goal with + | [ |- context[if ?E then _ else _] ] => destruct E + end; intuition; subst; + match goal with + | [ |- context[match ?pf with refl_equal => _ end] ] => rewrite (UIP_refl _ _ pf); assumption + | [ Hlt : forall t v1 v2, _ -> _ < _, Hin : In (existT _ _ (_, length _)) _ |- _ ] => + generalize (Hlt _ _ _ Hin); crush + | [ HG : _, Hin : In _ _, wf : wfExp _ _, pf : _ = Some _, + fvs : isfree _, env : envOf _ _ |- _ ] => + generalize (HG _ _ _ Hin (lookup_type_inner wf pf)); clear_all; + repeat match goal with + | [ |- context[match ?pf with refl_equal => _ end] ] => generalize pf + end; simpl; + generalize (packExp_correct _ fvs (inclusion wf) env pf); simpl; + match goal with + | [ |- ?X == ?Y -> _ ] => + generalize X Y + end; + rewrite pf; rewrite (lookup_type_inner wf pf); + intros lhs rhs Heq; intros; + repeat match goal with + | [ H : _ = _ |- _ ] => rewrite (UIP_refl _ _ H) in * + end; + rewrite <- Heq; assumption + end. Qed.