X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fmatita%2Ftests%2Ffguidi.ma;h=bfd24e5910e462bfadfd4a970ea4f37e31d8d6e8;hb=dc861d214cb992a898f81752614201b8074eef12;hp=274cda0275df683d226652489060d790a4d1da56;hpb=d43194ae7fed02d5454e329c3b1de3e5c667068b;p=helm.git diff --git a/helm/matita/tests/fguidi.ma b/helm/matita/tests/fguidi.ma index 274cda027..bfd24e591 100644 --- a/helm/matita/tests/fguidi.ma +++ b/helm/matita/tests/fguidi.ma @@ -53,7 +53,7 @@ qed. theorem le_gen_x_O_aux: \forall x, y. (le x y) \to (y =O) \to (x = O). -intros 3. elim H. auto. apply eq_gen_S_O. exact x2. auto. +intros 3. elim H. auto. apply eq_gen_S_O. exact n1. auto. qed. theorem le_gen_x_O: \forall x. (le x O) \to (x = O). @@ -68,7 +68,7 @@ theorem le_gen_S_x_aux: \forall m,x,y. (le y x) \to (y = S m) \to (\exists n. x = (S n) \land (le m n)). intros 4. elim H. apply eq_gen_S_O. exact m. elim H1. auto. -cut x1 = m. elim Hcut. apply ex_intro. exact x2. auto. auto. +cut n = m. elim Hcut. apply ex_intro. exact n1. auto. auto. qed. theorem le_gen_S_x: \forall m,x. (le (S m) x) \to @@ -90,9 +90,10 @@ qed. theorem le_gen_S_S_cc: \forall m,n. (le m n) \to (le (S m) (S n)). intros. auto. qed. + (* theorem le_trans: \forall x,y. (le x y) \to \forall z. (le y z) \to (le x z). -intros 1. elim x. -clear H. auto. -clear H. fwd H1 [H]. decompose H. -*) \ No newline at end of file +intros 1. elim x; clear H. clear x. +auto. +fwd H1 [H]. decompose H. +*)