X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FROB020-2.ma;h=20701b3f6c4c8ff38ecfab0f39aaee2cb43748ec;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=4a2cf54652500561ffc31bbc386697649251e5fc;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma b/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma index 4a2cf5465..20701b3f6 100644 --- a/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : ROB020-2 : TPTP v3.2.0. Bugfixed v3.1.0. *) +(* File : ROB020-2 : TPTP v3.7.0. Bugfixed v3.1.0. *) (* Domain : Robbins Algebra *) @@ -60,7 +60,7 @@ 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 *) @@ -82,7 +82,7 @@ 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) *) @@ -102,7 +102,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_idempotence: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -110,25 +110,25 @@ ntheorem prove_idempotence: ∀H0:eq Univ (negate (add a (negate b))) 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).∃X:Univ.eq Univ (add X X) X +∀H3:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).∃X:Univ.eq Univ (add X X) X) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#b. -#negate. -#H0. -#H1. -#H2. -#H3. -napply ex_intro[ -nid2: -nauto by H0,H1,H2,H3; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#negate ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1,H2,H3 ##; +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)