X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO032-1.ma;h=f171bb2a6c582ff10dd0b0b3eb509dcc4f51c612;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=c22d538ba5ec2d0d9d06385ab2010ad11b66c208;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO032-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO032-1.ma index c22d538ba..f171bb2a6 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO032-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO032-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO032-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO032-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----A 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. @@ -70,29 +70,30 @@ ntheorem prove_inverse_involution: ∀H8:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y (add X Z))) X. ∀H9:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X (inverse X)) Y) Y. ∀H10:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add (multiply X Y) (multiply Y Z)) Y) Y. -∀H11:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (inverse (inverse a)) a +∀H11:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (inverse (inverse a)) a) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)