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=fb83210624ef7643d1de9c49b699518e030a509b;hpb=88a68a9c334646bc17314d5327cd3b790202acd6;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 fb8321062..1932956b1 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/aprem/props.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/aprem/props.ma @@ -14,11 +14,11 @@ (* This file was automatically generated: do not edit *********************) -include "Basic-1/aprem/fwd.ma". +include "basic_1/aprem/fwd.ma". -include "Basic-1/leq/defs.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))))))))) @@ -55,11 +55,8 @@ A).(leq g b1 b2)) (\lambda (b1: A).(aprem (S i0) (AHead a0 a4) b1))) (\lambda 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)))). -(* COMMENTS -Initial nodes: 621 -END *) -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 @@ -70,7 +67,4 @@ A).(aprem_zero a0 (asucc g a3)))) (\lambda (a0: A).(\lambda (a: A).(\lambda (i0: nat).(\lambda (_: (aprem i0 a0 a)).(\lambda (H1: (aprem i0 (asucc g a0) a)).(\lambda (a3: A).(aprem_succ (asucc g a0) a i0 H1 a3))))))) i a1 a2 H))))). -(* COMMENTS -Initial nodes: 101 -END *)