X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL061-3.ma;h=375ec4b6c43cffeff613e099f98da1cf40dffcec;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=3975f8e65ee331713b1a5395a5575269fa02c89c;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL061-3.ma b/helm/software/matita/contribs/ng_TPTP/COL061-3.ma index 3975f8e65..375ec4b6c 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL061-3.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL061-3.ma @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----This is the Q1 equivalent *) ntheorem prove_q1_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀t:Univ. @@ -62,21 +62,21 @@ ntheorem prove_q1_combinator: ∀y:Univ. ∀z: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)).eq Univ (apply (apply (apply (apply (apply b (apply (apply b (apply t t)) b)) b) x) y) z) (apply x (apply z y)) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).eq Univ (apply (apply (apply (apply (apply b (apply (apply b (apply t t)) b)) b) x) y) z) (apply x (apply z y))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#t. -#x. -#y. -#z. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#t ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; nqed. (* -------------------------------------------------------------------------- *)