X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL161-1.ma;h=25fc7efb7878c33184d088ffe75c83d952dc27cb;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=ebac3edfb08616f33ad11597b470bb7c4c9edef0;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL161-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL161-1.ma index ebac3edfb..25fc7efb7 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL161-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL161-1.ma @@ -108,7 +108,7 @@ include "logic/equality.ma". (* ----Include the definition of implies in terms of xor and and_star *) ntheorem prove_wajsberg_axiom: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀and_star:∀_:Univ.∀_:Univ.Univ. ∀falsehood:Univ. ∀implies:∀_:Univ.∀_:Univ.Univ. @@ -128,33 +128,33 @@ ntheorem prove_wajsberg_axiom: ∀H9:∀X:Univ.eq Univ (and_star X truth) X. ∀H10:∀X:Univ.eq Univ (xor X X) falsehood. ∀H11:∀X:Univ.eq Univ (xor X falsehood) X. -∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies truth x) x +∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies truth x) x) . -#Univ. -#X. -#Y. -#Z. -#and_star. -#falsehood. -#implies. -#not. -#truth. -#x. -#xor. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#and_star ##. +#falsehood ##. +#implies ##. +#not ##. +#truth ##. +#x ##. +#xor ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12 ##; nqed. (* -------------------------------------------------------------------------- *)