X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Finversion.ma;h=c76851f59fa8dd1240d87fdb04d8072a5544ba5f;hb=249d79bebff886846fbab65cc079623d90684baf;hp=9c56069b234bc1aa063c2c04b560bf45aecde005;hpb=17a25a7a5b9cb2ba69fe9fdf1989bba5b212cadc;p=helm.git diff --git a/helm/matita/tests/inversion.ma b/helm/matita/tests/inversion.ma index 9c56069b2..c76851f59 100644 --- a/helm/matita/tests/inversion.ma +++ b/helm/matita/tests/inversion.ma @@ -1,4 +1,4 @@ -set "baseuri" "cic:/matita/tests/". +set "baseuri" "cic:/matita/tests/inversion/". inductive nat : Set \def O : nat @@ -12,24 +12,37 @@ alias symbol "eq" (instance 0) = "leibnitz's equality". theorem test_inversion: \forall n. le n O \to n=O. intros. + (* inversion begins *) cut O=O. (* goal 2: 0 = 0 *) goal 7. reflexivity. (* goal 1 *) - generalize Hcut. (* non attaccata. Dovrebbe dare 0=0 -> n=0 *) + generalize in match Hcut. apply (le_ind ? (\lambda x. O=x \to n=x) ? ? ? H). - intro. reflexivity. + (* first goal (left open) *) + intro. rewrite < H1. + clear Hcut. + (* second goal (closed) *) + goal 14. simplify. intros. discriminate H3. + (* inversion ends *) + reflexivity. qed. (* Piu' semplice e non lascia l'ipotesi inutile Hcut *) alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)". theorem test_inversion2: \forall n. le n O \to n=O. intros. - generalize (refl_equal nat O). + (* inversion begins *) + generalize in match (refl_equal nat O). apply (le_ind ? (\lambda x. O=x \to n=x) ? ? ? H). - intro. reflexivity. + (* first goal (left open) *) + intro. rewrite < H1. + (* second goal (closed) *) + goal 13. simplify. intros. discriminate H3. + (* inversion ends *) + reflexivity. qed.