X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FZEq%2Fsetoid.ma;h=03075bb75818909371091eaeec06d4178d59eafc;hb=d9824956d9132109ed5f23380a0a1f9c5181d18a;hp=a9c9d0763624957f7916b7d4e1ec8ad7e7ccd548;hpb=5da97dd622a5f94dd8bc21ffb15b6b63ff078488;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma b/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma index a9c9d0763..03075bb75 100644 --- a/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma +++ b/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma @@ -17,14 +17,14 @@ include "NPlus/fun.ma". include "ZEq/defs.ma". -theorem zeq_refl: \forall z. z = z. - intros. elim z. clear z. - lapply (nplus_total a b). decompose. +theorem zeq_refl: ∀z. z ≈ z. + intros; elim z. clear z. + lapply (nplus_total a b); decompose; autobatch. qed. -theorem zeq_sym: \forall z1,z2. z1 = z2 \to z2 = z1. - intros. elim H. clear H z1 z2. autobatch. +theorem zeq_sym: ∀z1,z2. z1 ≈ z2 → z2 ≈ z1. + intros; elim H; clear H z1 z2; autobatch. qed. (* theorem zeq_trans: \forall z1,z2. z1 = z2 \to