X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP010-4.ma;h=11a134c098a86035adde149b8f8ecdb9a9436a7b;hb=5fee26d2afb3a67370c92481bfbfdbd9ebed741e;hp=f302f70d6ca8fa264ea51fdfc5fb5e01ef1d739e;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP010-4.ma b/helm/software/matita/contribs/ng_TPTP/GRP010-4.ma index f302f70d6..11a134c09 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP010-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP010-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP010-4 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP010-4 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -50,7 +50,7 @@ include "logic/equality.ma". (* ----There exists an identity element 'e' defined below. *) ntheorem prove_b_times_c_is_e: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀b:Univ. ∀c:Univ. ∀identity:Univ. @@ -59,22 +59,23 @@ ntheorem prove_b_times_c_is_e: ∀H0:eq Univ (multiply c b) identity. ∀H1:∀X:Univ.eq Univ (multiply (inverse X) X) identity. ∀H2:∀X:Univ.eq Univ (multiply identity X) X. -∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply b c) identity +∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply b c) identity) . -#Univ. -#X. -#Y. -#Z. -#b. -#c. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#b ##. +#c ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)