X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP023-2.ma;h=13bfa941defdebca4dfb8ad10c934f1e1b348abd;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=b5e55b39ae150a8d9b136baf032545c4500e416f;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP023-2.ma b/helm/software/matita/contribs/ng_TPTP/GRP023-2.ma index b5e55b39a..13bfa941d 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP023-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP023-2.ma @@ -112,7 +112,7 @@ include "logic/equality.ma". (* ----Redundant two axioms *) ntheorem prove_inverse_of_id_is_id: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀identity:Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. @@ -120,21 +120,21 @@ ntheorem prove_inverse_of_id_is_id: ∀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 identity) identity +∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse identity) identity) . -#Univ. -#X. -#Y. -#Z. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; nqed. (* -------------------------------------------------------------------------- *)