X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FROB031-1.ma;h=6288ac3b1f0ce57196b1eb250ec5a0b2fe130a53;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=2dac0a308d35904aa8fe9cc9a3767b1d511c9ebf;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/ROB031-1.ma b/helm/software/matita/contribs/ng_TPTP/ROB031-1.ma index 2dac0a308..6288ac3b1 100644 --- a/helm/software/matita/contribs/ng_TPTP/ROB031-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/ROB031-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : ROB031-1 : TPTP v3.2.0. Released v3.1.0. *) +(* File : ROB031-1 : TPTP v3.7.0. Released v3.1.0. *) (* Domain : Robbins Algebra *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : ROB001-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : ROB001-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Robbins algebra *) @@ -76,7 +76,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR) *) -(* Number of literals : 3 ( 3 equality) *) +(* Number of atoms : 3 ( 3 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -96,33 +96,32 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_absorption_within_negation: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀A:Univ.∀B: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).∃A:Univ.∃B:Univ.eq Univ (negate (add A B)) (negate B) +∀H2:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).∃A:Univ.∃B:Univ.eq Univ (negate (add A B)) (negate B)) . -#Univ. -#A. -#B. -#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 ##. +#A ##. +#B ##. +#X ##. +#Y ##. +#Z ##. +#add ##. +#negate ##. +#H0 ##. +#H1 ##. +#H2 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1,H2 ##; +##| ##skip ##] +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)