X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL064-1.ma;h=1c835c7d63288f965a5cc04223776c9988f6c1cd;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=bdbeb0d6a20fa5a9dc2fd0bf4da24bde2a24c98e;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL064-1.ma b/helm/software/matita/contribs/ng_TPTP/COL064-1.ma index bdbeb0d6a..1c835c7d6 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL064-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL064-1.ma @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_v_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀f:∀_:Univ.Univ. @@ -56,25 +56,24 @@ ntheorem prove_v_combinator: ∀h:∀_:Univ.Univ. ∀t:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply t X) Y) (apply Y X). -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃X:Univ.eq Univ (apply (apply (apply X (f X)) (g X)) (h X)) (apply (apply (h X) (f X)) (g X)) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃X:Univ.eq Univ (apply (apply (apply X (f X)) (g X)) (h X)) (apply (apply (h X) (f X)) (g X))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#f. -#g. -#h. -#t. -#H0. -#H1. -napply ex_intro[ -nid2: -nauto by H0,H1; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#f ##. +#g ##. +#h ##. +#t ##. +#H0 ##. +#H1 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1 ##; +##| ##skip ##] nqed. (* -------------------------------------------------------------------------- *)