X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO011-2.ma;h=114c2b43d2ad5270626d26e7b754adde7565d4a9;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=bb782f271e15d813c3835ea38e5b118862b53dc3;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO011-2.ma b/helm/software/matita/contribs/ng_TPTP/BOO011-2.ma index bb782f271..114c2b43d 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO011-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO011-2.ma @@ -92,7 +92,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_inverse_of_1_is_0: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. ∀inverse:∀_:Univ.Univ. @@ -111,32 +111,32 @@ ntheorem prove_inverse_of_1_is_0: ∀H10:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H11:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) Z) (multiply (add X Z) (add Y Z)). ∀H12:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H13:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse additive_identity) multiplicative_identity +∀H13:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse additive_identity) multiplicative_identity) . -#Univ. -#X. -#Y. -#Z. -#add. -#additive_identity. -#inverse. -#multiplicative_identity. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#add ##. +#additive_identity ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13 ##; nqed. (* -------------------------------------------------------------------------- *)