X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP448-1.ma;h=adbc9e1f23c888f12934385a1cd7c2c6871a09f6;hb=f6c887944d48d718f372a57f1609f3d059908aa8;hp=a148e15cef502046b11a8e4df289cf8fadec8842;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP448-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP448-1.ma index a148e15ce..adbc9e1f2 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP448-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP448-1.ma @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_1: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a1:Univ. ∀b1:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -50,21 +50,21 @@ ntheorem prove_these_axioms_1: ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀A:Univ.∀B:Univ.eq Univ (inverse A) (divide (divide B B) A). ∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply A B) (divide A (divide (divide C C) B)). -∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide (divide (divide (divide B B) B) C) (divide (divide (divide B B) A) C))) B.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1) +∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide (divide (divide (divide B B) B) C) (divide (divide (divide B B) A) C))) B.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)) . -#Univ. -#A. -#B. -#C. -#a1. -#b1. -#divide. -#inverse. -#multiply. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a1 ##. +#b1 ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; nqed. (* -------------------------------------------------------------------------- *)