X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Faprem%2Fprops.ma;h=1932956b1299d72b875ab66493ae3cd749265ac5;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=e2fd9ad9490a2143cd264bb573ad940548ad052a;hpb=639e798161afea770f41d78673c0fe3be4125beb;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/aprem/props.ma b/matita/matita/contribs/lambdadelta/basic_1/aprem/props.ma index e2fd9ad94..1932956b1 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/aprem/props.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/aprem/props.ma @@ -18,7 +18,7 @@ include "basic_1/aprem/fwd.ma". include "basic_1/leq/fwd.ma". -theorem aprem_repl: +lemma aprem_repl: \forall (g: G).(\forall (a1: A).(\forall (a2: A).((leq g a1 a2) \to (\forall (i: nat).(\forall (b2: A).((aprem i a2 b2) \to (ex2 A (\lambda (b1: A).(leq g b1 b2)) (\lambda (b1: A).(aprem i a1 b1))))))))) @@ -56,7 +56,7 @@ A (\lambda (b1: A).(leq g b1 b2)) (\lambda (b1: A).(aprem (S i0) (AHead a0 a4) b1)) x H7 (aprem_succ a4 x i0 H8 a0))))) H6))))))) i H4)))))))))))) a1 a2 H)))). -theorem aprem_asucc: +lemma aprem_asucc: \forall (g: G).(\forall (a1: A).(\forall (a2: A).(\forall (i: nat).((aprem i a1 a2) \to (aprem i (asucc g a1) a2))))) \def