X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fdemo%2Fpropositional_sequent_calculus.ma;h=d79cd2e6ddded90916b5a01f48d00d305dafd225;hb=071bb57c99e38a52d2606f7aca47bf56cdeaff53;hp=4498676a3ef10f8a793464138f94e2638e130730;hpb=af130d273b6be7fbcc2fb2504f3b28ef8fa2344f;p=helm.git diff --git a/helm/software/matita/library/demo/propositional_sequent_calculus.ma b/helm/software/matita/library/demo/propositional_sequent_calculus.ma index 4498676a3..d79cd2e6d 100644 --- a/helm/software/matita/library/demo/propositional_sequent_calculus.ma +++ b/helm/software/matita/library/demo/propositional_sequent_calculus.ma @@ -752,18 +752,18 @@ lemma completeness_base: [ decompose; rewrite > H2; clear H2; rewrite > H4; clear H4; - apply (exchangeL ? a1 a2 (FAtom a)); - apply (exchangeR ? a3 a4 (FAtom a)); - apply axiom + apply (ExchangeL ? a1 a2 (FAtom a)); + apply (ExchangeR ? a3 a4 (FAtom a)); + apply Axiom | elim (sizel_0_no_axiom_is_tautology t t1 H H1 H2); [ decompose; rewrite > H3; - apply (exchangeL ? a a1 FFalse); - apply falseL + apply (ExchangeL ? a a1 FFalse); + apply FalseL | decompose; rewrite > H3; - apply (exchangeR ? a a1 FTrue); - apply trueR + apply (ExchangeR ? a a1 FTrue); + apply TrueR ] ] qed.