X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FTPTP%2FHEQ%2FLCL275-3.ma;h=154ae4c7aff04f1ca6141d61b7e918af6aed433a;hb=2af96fc83e36af5270b1181864855791ed38fbb8;hp=a7a220dd3d605f2f0275789d69ae9c60889902fb;hpb=36326bac6e833046698176f50fdbb4517f6705a5;p=helm.git diff --git a/helm/software/matita/contribs/TPTP/HEQ/LCL275-3.ma b/helm/software/matita/contribs/TPTP/HEQ/LCL275-3.ma index a7a220dd3..154ae4c7a 100644 --- a/helm/software/matita/contribs/TPTP/HEQ/LCL275-3.ma +++ b/helm/software/matita/contribs/TPTP/HEQ/LCL275-3.ma @@ -185,7 +185,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) theorem prove_this: - ∀Univ:Set.∀A:Univ.∀B:Univ.∀C:Univ.∀P:Univ.∀Q:Univ.∀X:Univ.∀Y:Univ.∀myand:∀_:Univ.∀_:Univ.Univ.∀axiomP:∀_:Univ.Prop.∀equivalent:∀_:Univ.∀_:Univ.Univ.∀implies:∀_:Univ.∀_:Univ.Univ.∀not:∀_:Univ.Univ.∀or:∀_:Univ.∀_:Univ.Univ.∀p:Univ.∀q:Univ.∀r:Univ.∀theoremP:∀_:Univ.Prop.∀H0:∀P:Univ.∀Q:Univ.eq Univ (equivalent P Q) (myand (implies P Q) (implies Q P)).∀H1:∀P:Univ.∀Q:Univ.eq Univ (myand P Q) (not (or (not P) (not Q))).∀H2:∀X:Univ.∀Y:Univ.∀_:theoremP X.∀_:theoremP (implies Y X).theoremP Y.∀H3:∀X:Univ.∀_:theoremP X.axiomP X.∀H4:∀X:Univ.∀Y:Univ.eq Univ (implies X Y) (or (not X) Y).∀H5:∀A:Univ.∀B:Univ.∀C:Univ.axiomP (implies (implies A B) (implies (or C A) (or C B))).∀H6:∀A:Univ.∀B:Univ.∀C:Univ.axiomP (implies (or A (or B C)) (or B (or A C))).∀H7:∀A:Univ.∀B:Univ.axiomP (implies (or A B) (or B A)).∀H8:∀A:Univ.∀B:Univ.axiomP (implies A (or B A)).∀H9:∀A:Univ.axiomP (implies (or A A) A).theoremP (equivalent (myand r (myand p q)) (myand p (myand q r))) + ∀Univ:Set.∀A:Univ.∀B:Univ.∀C:Univ.∀P:Univ.∀Q:Univ.∀X:Univ.∀Y:Univ.∀myand:∀_:Univ.∀_:Univ.Univ.∀axiomP:∀_:Univ.Prop.∀equivalent:∀_:Univ.∀_:Univ.Univ.∀implies:∀_:Univ.∀_:Univ.Univ.∀not:∀_:Univ.Univ.∀or:∀_:Univ.∀_:Univ.Univ.∀p:Univ.∀q:Univ.∀r:Univ.∀theoremP:∀_:Univ.Prop.∀H0:∀P:Univ.∀Q:Univ.eq Univ (equivalent P Q) (myand (implies P Q) (implies Q P)).∀H1:∀P:Univ.∀Q:Univ.eq Univ (myand P Q) (not (or (not P) (not Q))).∀H2:∀X:Univ.∀Y:Univ.∀_:theoremP Y.∀_:theoremP (implies Y X).theoremP X.∀H3:∀X:Univ.∀_:axiomP X.theoremP X.∀H4:∀X:Univ.∀Y:Univ.eq Univ (implies X Y) (or (not X) Y).∀H5:∀A:Univ.∀B:Univ.∀C:Univ.axiomP (implies (implies A B) (implies (or C A) (or C B))).∀H6:∀A:Univ.∀B:Univ.∀C:Univ.axiomP (implies (or A (or B C)) (or B (or A C))).∀H7:∀A:Univ.∀B:Univ.axiomP (implies (or A B) (or B A)).∀H8:∀A:Univ.∀B:Univ.axiomP (implies A (or B A)).∀H9:∀A:Univ.axiomP (implies (or A A) A).theoremP (equivalent (myand r (myand p q)) (myand p (myand q r))) . intros. autobatch depth=5 width=5 size=20 timeout=10;