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Proofgold Proposition

(∀ x0 x1 x2 . equip_mod (setsum (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (Power (Power 0))) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (Power (Power 0))))) (setsum (setprod (Power (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (Power (Power 0))) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) x1)) (setsum (setprod (Power (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (Power (Power (Power 0))) (setexp x0 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (Power (Power 0))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setprod x1 x2))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) x1)) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) x2)) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setexp x0 (Power (Power 0)))) (setsum (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (Power (Power 0)) (setprod x0 (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod x0 (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod x0 (setexp x1 (Power (Power 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(Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (Power (Power 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (Power 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x1 (Power (Power 0))) x2)) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setexp x1 (Power (Power 0)))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod x1 (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod x1 x2)) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) x1) (setsum (setprod (Power (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))) (setsum (setexp x2 (Power (Power 0))) (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) x2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Power (Power (Power (Power 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (Power (Power 0)))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 x2))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) x1)) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setexp x0 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (Power (Power 0))) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) (setprod x1 x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (Power (Power 0))) x1)) (setsum (setprod (setexp x0 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) x2)) (setsum (setprod (Power (Power (Power 0))) (setexp x0 (Power (Power 0)))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (Power 0)) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod x0 (setexp x1 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod x0 (setprod (setexp x1 (Power (Power 0))) x2)) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod x0 (setexp x1 (Power (Power 0))))) (setsum (setprod 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(setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setexp x1 (binrep (Power (Power 0)) 0))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (Power (Power 0)) (setprod (setexp x1 (Power (Power 0))) x2)) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setexp x1 (Power (Power 0)))) (setsum (setprod (Power (Power 0)) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x1 (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x1 x2)) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) x1) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setexp x2 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setexp x2 (Power (Power 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) x2) (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (binrep (binrep (binrep (binrep (binrep (binrep (binrep (binrep (binrep (binrep (binrep (binrep (binrep (Power (binrep (binrep (Power (Power (Power (Power 0)))) (binrep (Power (Power 0)) 0)) 0)) (binrep (binrep (binrep (Power (Power (Power (Power 0)))) (Power (Power 0))) (Power 0)) 0)) (binrep (binrep (Power (Power (Power (Power 0)))) (Power (Power 0))) (Power 0))) (binrep (binrep (Power (Power (Power (Power 0)))) (Power (Power 0))) 0)) (binrep (Power (Power (Power (Power 0)))) (Power 0))) (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0)) (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0)))) (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0)) (binrep (Power (Power (Power 0))) (Power 0))) (binrep (Power (Power (Power 0))) 0)) (Power (Power (Power 0)))) (Power (Power 0))) (Power 0)) 0)False)∀ x0 : ο . x0
type
prop
theory
HF
name
-
proof
PUJr5..
Megalodon
-
proofgold address
TMRFj..
creator
35088 PrAFa../dd0bb..
owner
35088 PrAFa../dd0bb..
term root
07d0b..