X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP204-1.ma;h=e796c97e6a26676cf29e1ed11e11c511434b2861;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=d624beeefac829c70e2970dd508f376bff7c2001;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP204-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP204-1.ma index d624beeef..e796c97e6 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP204-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP204-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP204-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : GRP204-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Group Theory (Loops) *) @@ -52,7 +52,7 @@ include "logic/equality.ma". (* ----Denial of Moufang-2: *) ntheorem prove_moufang2: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -61,22 +61,23 @@ ntheorem prove_moufang2: ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X (multiply Y Z)) X) (multiply (multiply X Y) (multiply Z X)). ∀H1:∀X:Univ.eq Univ (multiply (left_inverse X) X) identity. -∀H2:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) c) b) (multiply a (multiply b (multiply c b))) +∀H2:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) c) b) (multiply a (multiply b (multiply c b)))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#identity. -#left_inverse. -#multiply. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#identity ##. +#left_inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)