X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO033-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO033-1.ma;h=1a47749cc3718f78fbb55596a4557e4affa8d5f8;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=e73b92c6afb67aa531acfe7043f41f4ce48a873a;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO033-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO033-1.ma index e73b92c6a..1a47749cc 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO033-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO033-1.ma @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----A simple propery of Boolean Algebra fails to hold. *) ntheorem prove_inverse_involution: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀inverse:∀_:Univ.Univ. @@ -65,24 +65,24 @@ ntheorem prove_inverse_involution: ∀H3:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X (inverse X)) Y) Y. ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add (multiply X Y) (multiply Y Z)) Y) Y. ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X. -∀H6:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) (add (multiply Y Z) (multiply Z X))) (multiply (add X Y) (multiply (add Y Z) (add Z X))).eq Univ (inverse (inverse a)) a +∀H6:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) (add (multiply Y Z) (multiply Z X))) (multiply (add X Y) (multiply (add Y Z) (add Z X))).eq Univ (inverse (inverse a)) a) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -nauto by H0,H1,H2,H3,H4,H5,H6; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +nauto by H0,H1,H2,H3,H4,H5,H6 ##; nqed. (* -------------------------------------------------------------------------- *)