X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL165-1.ma;h=7c2d610d95812269afeff952591999ef74ba28d5;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=1acd6646db64cd0e11ff86aba3cc00ca38589824;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL165-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL165-1.ma index 1acd6646d..7c2d610d9 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL165-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL165-1.ma @@ -146,7 +146,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_wajsberg_ntheorem: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀myand:∀_:Univ.∀_:Univ.Univ. ∀implies:∀_:Univ.∀_:Univ.Univ. ∀not:∀_:Univ.Univ. @@ -162,29 +162,29 @@ ntheorem prove_wajsberg_ntheorem: ∀H6:∀X:Univ.∀Y:Univ.eq Univ (implies (implies (not X) (not Y)) (implies Y X)) truth. ∀H7:∀X:Univ.∀Y:Univ.eq Univ (implies (implies X Y) Y) (implies (implies Y X) X). ∀H8:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (implies (implies X Y) (implies (implies Y Z) (implies X Z))) truth. -∀H9:∀X:Univ.eq Univ (implies truth X) X.eq Univ (not (or (myand x (or x x)) (myand x x))) (myand (not x) (or (or (not x) (not x)) (myand (not x) (not x)))) +∀H9:∀X:Univ.eq Univ (implies truth X) X.eq Univ (not (or (myand x (or x x)) (myand x x))) (myand (not x) (or (or (not x) (not x)) (myand (not x) (not x))))) . -#Univ. -#X. -#Y. -#Z. -#and. -#implies. -#not. -#or. -#truth. -#x. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#and ##. +#implies ##. +#not ##. +#or ##. +#truth ##. +#x ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9 ##; nqed. (* -------------------------------------------------------------------------- *)