X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO002-1.ma;h=f53f13e34d208dfe0b9ba6a91553347ca876ae14;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=a2114731c86c830b473e989e3176692d3855e479;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma index a2114731c..f53f13e34 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma @@ -68,7 +68,7 @@ include "logic/equality.ma". (* [++equal(multiply(X,Y,inverse(Y)),X)]). *) ntheorem prove_equation: - ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀inverse:∀_:Univ.Univ. @@ -76,23 +76,23 @@ ntheorem prove_equation: ∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X. ∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X. ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X. -∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply a (inverse a) b) b +∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply a (inverse a) b) b) . -#Univ. -#V. -#W. -#X. -#Y. -#Z. -#a. -#b. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#V ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)