X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FALG007-1.ma;h=4fd49f617a40c2f3c000d586ca19ca6238c22969;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=23b7a85d95d23918a5862382e560ee5f4970961d;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/ALG007-1.ma b/helm/software/matita/contribs/ng_TPTP/ALG007-1.ma index 23b7a85d9..4fd49f617 100644 --- a/helm/software/matita/contribs/ng_TPTP/ALG007-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/ALG007-1.ma @@ -52,27 +52,27 @@ include "logic/equality.ma". (* ----Denial of original third axiom: *) ntheorem prove_set_difference_3: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. ∀difference:∀_:Univ.∀_:Univ.Univ. ∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (difference (difference X Y) Z) (difference (difference X Z) Y). ∀H1:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference X Y)) (difference Y (difference Y X)). -∀H2:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference Y X)) X.eq Univ (difference (difference a b) c) (difference (difference a c) (difference b c)) +∀H2:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference Y X)) X.eq Univ (difference (difference a b) c) (difference (difference a c) (difference b c))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#difference. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#difference ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; nqed. (* -------------------------------------------------------------------------- *)