X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP022-2.ma;h=c95d313fe40c27e49c3752f1396f74f3d5860bc1;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=6dab8aacbfafcf7166fa5edc85d50125bcf232cc;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP022-2.ma b/helm/software/matita/contribs/ng_TPTP/GRP022-2.ma index 6dab8aacb..c95d313fe 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP022-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP022-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP022-2 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP022-2 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -52,7 +52,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -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) *) @@ -116,7 +116,7 @@ include "logic/equality.ma". (* ----Redundant two axioms *) ntheorem prove_inverse_of_inverse_is_original: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀identity:Univ. ∀inverse:∀_:Univ.Univ. @@ -125,22 +125,23 @@ ntheorem prove_inverse_of_inverse_is_original: ∀H1:∀X:Univ.eq Univ (multiply X identity) X. ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H3:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse (inverse a)) a +∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse (inverse a)) a) . -#Univ. -#X. -#Y. -#Z. -#a. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)