X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL060-2.ma;h=2c285294613488a223e6c8b494a9b3e004d43f87;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=17b72486094bd6ade2c4d71ddf024da50be6f536;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL060-2.ma b/helm/software/matita/contribs/ng_TPTP/COL060-2.ma index 17b724860..2c2852946 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL060-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL060-2.ma @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----This is the q equivalent *) ntheorem prove_q_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_q_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 t b)) (apply (apply b b) t)) x) y) z) (apply y (apply x z)) +∀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 t b)) (apply (apply b b) t)) x) y) z) (apply y (apply x z))) . -#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. (* -------------------------------------------------------------------------- *)