X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP483-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP483-1.ma;h=6396b3304f0a69a6b3f3ae80f0c1ecebf055da00;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=bf9af7de8b88aba4fb6cba65c5aac0b5017aacc0;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP483-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP483-1.ma index bf9af7de8..6396b3304 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP483-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP483-1.ma @@ -44,7 +44,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_3: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. ∀a3:Univ. ∀b3:Univ. ∀c3:Univ. @@ -55,25 +55,25 @@ ntheorem prove_these_axioms_3: ∀H0:∀A:Univ.eq Univ identity (double_divide A (inverse A)). ∀H1:∀A:Univ.eq Univ (inverse A) (double_divide A identity). ∀H2:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (double_divide (double_divide B A) identity). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (double_divide (double_divide (double_divide A (double_divide B identity)) (double_divide (double_divide C (double_divide D (double_divide D identity))) (double_divide A identity))) B) C.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)) +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (double_divide (double_divide (double_divide A (double_divide B identity)) (double_divide (double_divide C (double_divide D (double_divide D identity))) (double_divide A identity))) B) C.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3))) . -#Univ. -#A. -#B. -#C. -#D. -#a3. -#b3. -#c3. -#double_divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#a3 ##. +#b3 ##. +#c3 ##. +#double_divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)