X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FROB032-1.ma;h=72e2506aa59161350e5510af9fd48ecc01404ec5;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=10130dfc7b745a41691f05c560b24fe47c782941;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/ROB032-1.ma b/helm/software/matita/contribs/ng_TPTP/ROB032-1.ma index 10130dfc7..72e2506aa 100644 --- a/helm/software/matita/contribs/ng_TPTP/ROB032-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/ROB032-1.ma @@ -98,33 +98,31 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_absorbtion: - ∀Univ:Type.∀C:Univ.∀D:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀C:Univ.∀D:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀negate:∀_:Univ.Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (negate (add (negate (add X Y)) (negate (add X (negate Y))))) X. ∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add X Y) Z) (add X (add Y Z)). -∀H2:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).∃C:Univ.∃D:Univ.eq Univ (add C D) D +∀H2:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).∃C:Univ.∃D:Univ.eq Univ (add C D) D) . -#Univ. -#C. -#D. -#X. -#Y. -#Z. -#add. -#negate. -#H0. -#H1. -#H2. -napply ex_intro[ -nid2: -napply ex_intro[ -nid2: -nauto by H0,H1,H2; -nid| -skip] -nid| -skip] +#Univ ##. +#C ##. +#D ##. +#X ##. +#Y ##. +#Z ##. +#add ##. +#negate ##. +#H0 ##. +#H1 ##. +#H2 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1,H2 ##; +##| ##skip ##] +##| ##skip ##] nqed. (* -------------------------------------------------------------------------- *)