X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG008-3.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG008-3.ma;h=d943757e074b2cb6779d5366c51faea126154c1e;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=2ec7c33932b2cd319304c7a8d87090770f03b6bb;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG008-3.ma b/helm/software/matita/contribs/ng_TPTP/RNG008-3.ma index 2ec7c3393..d943757e0 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG008-3.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG008-3.ma @@ -122,7 +122,7 @@ include "logic/equality.ma". (* ----Right identity and inverse are dependent lemmas *) ntheorem prove_commutativity: - ∀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. @@ -147,38 +147,38 @@ ntheorem prove_commutativity: ∀H14:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (add X Y) Z) (add (multiply X Z) (multiply Y Z)). ∀H15:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H16:∀X:Univ.eq Univ (add (additive_inverse X) X) additive_identity. -∀H17:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c +∀H17:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#b. -#c. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -#H15. -#H16. -#H17. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#b ##. +#c ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +#H16 ##. +#H17 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17 ##; nqed. (* -------------------------------------------------------------------------- *)