X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP177-1.ma;h=72ae87b923fd015edfa068d26ab880db04274e67;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=12622b08b4d92034eabed89dd4370354162ecf89;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP177-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP177-1.ma index 12622b08b..72ae87b92 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP177-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP177-1.ma @@ -170,7 +170,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_p08a: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -196,39 +196,39 @@ ntheorem prove_p08a: ∀H14:∀X:Univ.∀Y:Univ.eq Univ (greatest_lower_bound X Y) (greatest_lower_bound Y X). ∀H15:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H16:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H17:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (least_upper_bound (greatest_lower_bound a (multiply b c)) (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))) (multiply (greatest_lower_bound a b) (greatest_lower_bound a c)) +∀H17:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (least_upper_bound (greatest_lower_bound a (multiply b c)) (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))) (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#greatest_lower_bound. -#identity. -#inverse. -#least_upper_bound. -#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 ##. +#b ##. +#c ##. +#greatest_lower_bound ##. +#identity ##. +#inverse ##. +#least_upper_bound ##. +#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. (* -------------------------------------------------------------------------- *)