X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP508-1.ma;h=51bff57f16c8ebc41c4184bfa97fc6034c6fa135;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=f39469bac79521c63979372194e0e89e3d81c1f4;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP508-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP508-1.ma index f39469bac..51bff57f1 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP508-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP508-1.ma @@ -48,26 +48,26 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_4: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ. ∀a:Univ. ∀b:Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. -∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.eq Univ (multiply (inverse (multiply (inverse (multiply (inverse (multiply A B)) (multiply B A))) (multiply (inverse (multiply C D)) (multiply C (inverse (multiply (multiply E (inverse F)) (inverse D))))))) F) E.eq Univ (multiply a b) (multiply b a) +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.eq Univ (multiply (inverse (multiply (inverse (multiply (inverse (multiply A B)) (multiply B A))) (multiply (inverse (multiply C D)) (multiply C (inverse (multiply (multiply E (inverse F)) (inverse D))))))) F) E.eq Univ (multiply a b) (multiply b a)) . -#Univ. -#A. -#B. -#C. -#D. -#E. -#F. -#a. -#b. -#inverse. -#multiply. -#H0. -nauto by H0; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#E ##. +#F ##. +#a ##. +#b ##. +#inverse ##. +#multiply ##. +#H0 ##. +nauto by H0 ##; nqed. (* -------------------------------------------------------------------------- *)