X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP002-4.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP002-4.ma;h=f4cb1b59dd401afff9b855b4e22fafba4c456948;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=7f2fa4d420062c642983c119101204c99c508d8c;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP002-4.ma b/helm/software/matita/contribs/ng_TPTP/GRP002-4.ma index 7f2fa4d42..f4cb1b59d 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP002-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP002-4.ma @@ -136,7 +136,7 @@ include "logic/equality.ma". (* ----Definition of the commutator *) ntheorem prove_commutator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀commutator:∀_:Univ.∀_:Univ.Univ. @@ -149,26 +149,26 @@ ntheorem prove_commutator: ∀H3:∀X:Univ.eq Univ (multiply X identity) X. ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H5:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H6:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (commutator (commutator a b) b) identity +∀H6:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (commutator (commutator a b) b) identity) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#commutator. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -nauto by H0,H1,H2,H3,H4,H5,H6; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#commutator ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +nauto by H0,H1,H2,H3,H4,H5,H6 ##; nqed. (* -------------------------------------------------------------------------- *)