X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP011-4.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP011-4.ma;h=58c2ed1ede13a0aaecd4ec3cc4738c6627a31e0f;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=8e239b162c444b5f6c0e5b5450095e5ef2d7b88a;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP011-4.ma b/helm/software/matita/contribs/ng_TPTP/GRP011-4.ma index 8e239b162..58c2ed1ed 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP011-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP011-4.ma @@ -50,7 +50,7 @@ include "logic/equality.ma". (* ----There exists an identity element *) ntheorem prove_left_cancellation: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀b:Univ. ∀c:Univ. ∀d:Univ. @@ -60,23 +60,23 @@ ntheorem prove_left_cancellation: ∀H0:eq Univ (multiply b c) (multiply d c). ∀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 b d +∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ b d) . -#Univ. -#X. -#Y. -#Z. -#b. -#c. -#d. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#b ##. +#c ##. +#d ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)