X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP427-1.ma;h=1774ca7a1072e9a16c3f1b13d2b8f24b49b25ac4;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=ea27150067fd9f6b86f123f1cd485e82f5c9ab8a;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP427-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP427-1.ma index ea2715006..1774ca7a1 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP427-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP427-1.ma @@ -44,24 +44,24 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_1: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. ∀a1:Univ. ∀b1:Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. -∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (multiply A (inverse (multiply (multiply (inverse (multiply (inverse B) (multiply (inverse A) C))) D) (inverse (multiply B D))))) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1) +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (multiply A (inverse (multiply (multiply (inverse (multiply (inverse B) (multiply (inverse A) C))) D) (inverse (multiply B D))))) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)) . -#Univ. -#A. -#B. -#C. -#D. -#a1. -#b1. -#inverse. -#multiply. -#H0. -nauto by H0; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#a1 ##. +#b1 ##. +#inverse ##. +#multiply ##. +#H0 ##. +nauto by H0 ##; nqed. (* -------------------------------------------------------------------------- *)