X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO008-4.ma;h=1d42f4c01d40f322304dd1409ad5918632a2bfe0;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=73f5b9d2632538a9861314d3beb46ec4cb937c74;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO008-4.ma b/helm/software/matita/contribs/ng_TPTP/BOO008-4.ma index 73f5b9d26..1d42f4c01 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO008-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO008-4.ma @@ -88,7 +88,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_associativity: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. @@ -104,29 +104,29 @@ ntheorem prove_associativity: ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add a (add b c)) (add (add a b) c) +∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add a (add b c)) (add (add a b) c)) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#b. -#c. -#inverse. -#multiplicative_identity. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -nauto by H0,H1,H2,H3,H4,H5,H6,H7; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#b ##. +#c ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7 ##; nqed. (* -------------------------------------------------------------------------- *)