X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP206-1.ma;h=5de6168911e91d73c85dfb1b8b3396df32b8a0c0;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=0d343edd1fb8228bd955525b655b02ec0f502a00;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP206-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP206-1.ma index 0d343edd1..5de616891 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP206-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP206-1.ma @@ -48,7 +48,7 @@ include "logic/equality.ma". (* ----Denial of Moufang-1 *) ntheorem prove_moufang1: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -66,31 +66,31 @@ ntheorem prove_moufang1: ∀H5:∀X:Univ.∀Y:Univ.eq Univ (left_division X (multiply X Y)) Y. ∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply X (left_division X Y)) Y. ∀H7:∀X:Univ.eq Univ (multiply X identity) X. -∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply a (multiply b c)) a) (multiply (multiply a b) (multiply c a)) +∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply a (multiply b c)) a) (multiply (multiply a b) (multiply c a))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#identity. -#left_division. -#left_inverse. -#multiply. -#right_division. -#right_inverse. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#identity ##. +#left_division ##. +#left_inverse ##. +#multiply ##. +#right_division ##. +#right_inverse ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8 ##; nqed. (* -------------------------------------------------------------------------- *)