X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP442-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP442-1.ma;h=355689cd55ec90a38e335d5c02d5860850001b17;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=df3e7d2dda6d8b97bb49707bc5a17a946831528f;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP442-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP442-1.ma index df3e7d2dd..355689cd5 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP442-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP442-1.ma @@ -42,24 +42,24 @@ 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 (inverse (multiply A (multiply B (multiply (multiply C (inverse C)) (inverse (multiply D (multiply A B))))))) D.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1) +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (inverse (multiply A (multiply B (multiply (multiply C (inverse C)) (inverse (multiply D (multiply A B))))))) D.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. (* -------------------------------------------------------------------------- *)