X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Falgebra%2FCoRN%2FSetoids.ma;h=ee5f99610ed7be4c91f32c4835c4ed61ef3e3cbd;hb=bfef67a8e21e943fa760512faeddd47b5a236ca5;hp=ddbb807a85643681b923fc6ee91afb367b0d6c50;hpb=b37f3d17c490c83c69997c5e08057df2d36ce0a7;p=helm.git diff --git a/helm/software/matita/library/algebra/CoRN/Setoids.ma b/helm/software/matita/library/algebra/CoRN/Setoids.ma index ddbb807a8..ee5f99610 100644 --- a/helm/software/matita/library/algebra/CoRN/Setoids.ma +++ b/helm/software/matita/library/algebra/CoRN/Setoids.ma @@ -237,8 +237,8 @@ apply (mk_is_CSetoid ? (prod_eq A B) (prod_ap A B)) unfold prod_ap. simplify. intros. elim H - [apply (ap_irreflexive A t H1) - |apply (ap_irreflexive B t1 H1) + [apply (ap_irreflexive A a H1) + |apply (ap_irreflexive B b H1) ] |unfold. intros 2. @@ -258,14 +258,14 @@ apply (mk_is_CSetoid ? (prod_eq A B) (prod_ap A B)) unfold prod_ap in H. simplify in H. unfold prod_ap. simplify. elim H - [cut ((t \neq t4) \or (t4 \neq t2)) + [cut ((a \neq a2) \or (a2 \neq a1)) [elim Hcut [left. left. assumption |right. left. assumption ] |apply (ap_cotransitive A). assumption ] - |cut ((t1 \neq t5) \or (t5 \neq t3)) + |cut ((b \neq b2) \or (b2 \neq b1)) [elim Hcut [left. right. assumption |right. right. assumption @@ -291,8 +291,8 @@ apply (mk_is_CSetoid ? (prod_eq A B) (prod_ap A B)) |intro. unfold. intro. elim H. elim H1 - [apply (eq_imp_not_ap A t t2 H2). assumption - |apply (eq_imp_not_ap B t1 t3 H3). assumption + [apply (eq_imp_not_ap A a a1 H2). assumption + |apply (eq_imp_not_ap B b b1 H3). assumption ] ] ] @@ -1263,7 +1263,7 @@ apply f. apply n1. apply m1. apply eq_symmetric_unfolded.assumption. apply eq_symmetric_unfolded.assumption. apply H. -autobatch new. +autobatch. qed. (*