X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FROB007-1.ma;h=01be6c2e54a4d46ba8db1a479b0489eb1edb8262;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=93bc99301ed345c697c5632fce0eefaf0ac8ae64;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/ROB007-1.ma b/helm/software/matita/contribs/ng_TPTP/ROB007-1.ma index 93bc99301..01be6c2e5 100644 --- a/helm/software/matita/contribs/ng_TPTP/ROB007-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/ROB007-1.ma @@ -100,7 +100,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_huntingtons_axiom: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -108,21 +108,21 @@ ntheorem prove_huntingtons_axiom: ∀H0:eq Univ (negate (add a b)) (negate b). ∀H1:∀X:Univ.∀Y:Univ.eq Univ (negate (add (negate (add X Y)) (negate (add X (negate Y))))) X. ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add X Y) Z) (add X (add Y Z)). -∀H3:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add (negate (add a (negate b))) (negate (add (negate a) (negate b)))) b +∀H3:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add (negate (add a (negate b))) (negate (add (negate a) (negate b)))) b) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#b. -#negate. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#negate ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)