X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Flibrary%2FZ%2Fz.ma;h=d8b829ec1da6e60da84bf89fe20c94e80dc72351;hb=7008966fdd5b3811852f60b459572a347be932a0;hp=9532ea95deb4d3ffb2a7c66b1665f58aa7a6c462;hpb=bec691ac68b66ca288ac0280871afb6597259446;p=helm.git diff --git a/matita/library/Z/z.ma b/matita/library/Z/z.ma index 9532ea95d..d8b829ec1 100644 --- a/matita/library/Z/z.ma +++ b/matita/library/Z/z.ma @@ -55,9 +55,9 @@ match OZ_test z with intros.elim z. simplify.reflexivity. simplify. unfold Not. intros (H). -discriminate H. +destruct H. simplify. unfold Not. intros (H). -discriminate H. +destruct H. qed. (* discrimination *) @@ -85,17 +85,17 @@ variant inj_neg : \forall n,m:nat. neg n = neg m \to n = m theorem not_eq_OZ_pos: \forall n:nat. OZ \neq pos n. unfold Not.intros (n H). -discriminate H. +destruct H. qed. theorem not_eq_OZ_neg :\forall n:nat. OZ \neq neg n. unfold Not.intros (n H). -discriminate H. +destruct H. qed. theorem not_eq_pos_neg :\forall n,m:nat. pos n \neq neg m. unfold Not.intros (n m H). -discriminate H. +destruct H. qed. theorem decidable_eq_Z : \forall x,y:Z. decidable (x=y). @@ -117,7 +117,7 @@ elim x. (* goal: x=pos y=pos *) elim (decidable_eq_nat n n1:((n=n1) \lor ((n=n1) \to False))). left.apply eq_f.assumption. - right.unfold Not.intros (H_inj).apply H. injection H_inj. assumption. + right.unfold Not.intros (H_inj).apply H. destruct H_inj. assumption. (* goal: x=pos y=neg *) right.unfold Not.intro.apply (not_eq_pos_neg n n1). assumption. (* goal: x=neg *)