X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambda%2Fpaths%2Fstandard_order.ma;h=9bf484143fdf517dc5a8c30da85d2c0dd78a4bf6;hb=81fc94f4f091ec35d41e2711207218d255b75273;hp=8ce5b879053ed9dc9db83d97aa7aa74b1bf812eb;hpb=39aab7babf51252cecb81a66af82fe797e8dcbe7;p=helm.git diff --git a/matita/matita/contribs/lambda/paths/standard_order.ma b/matita/matita/contribs/lambda/paths/standard_order.ma index 8ce5b8790..9bf484143 100644 --- a/matita/matita/contribs/lambda/paths/standard_order.ma +++ b/matita/matita/contribs/lambda/paths/standard_order.ma @@ -46,7 +46,7 @@ lemma sle_nil: ∀p. ◊ ≤ p. * // /2 width=1/ qed. -lemma sle_comp: ∀p1,p2. p1 ≤ p2 → ∀c. (c::p1) ≤ (c::p2). +lemma sle_comp: ∀p1,p2. p1 ≤ p2 → ∀o. (o::p1) ≤ (o::p2). #p1 #p2 #H elim H -p2 // /3 width=3/ qed. @@ -67,8 +67,8 @@ qed. lemma sle_dichotomy: ∀p1,p2:path. p1 ≤ p2 ∨ p2 ≤ p1. #p1 elim p1 -p1 [ * /2 width=1/ -| #c1 #p1 #IHp1 * /2 width=1/ - * #p2 cases c1 -c1 /2 width=1/ +| #o1 #p1 #IHp1 * /2 width=1/ + * #p2 cases o1 -o1 /2 width=1/ elim (IHp1 p2) -IHp1 /3 width=1/ ] qed-.