Theorem 8ddd3.. : ∀ x0 : ι → ι → ο . ∀ x1 : ι → ι → ι . ∀ x2 x3 : ι → ο . ∀ x4 : ι → ι . ∀ x5 x6 x7 . and (not (x0 x7 (x1 x7 (x1 (x1 (x1 (x1 (x1 (x1 (x1 x6 x6) x7) x6) (x1 (x4 (x1 (x4 (x1 (x1 x6 (x1 (x4 x6) x5)) (x1 (x1 (x1 (x4 (x4 (x4 (x4 (x1 x5 (x1 (x4 (x1 x6 (x1 x6 (x4 x6)))) x6)))))) x7) x7) (x1 x6 (x4 x6))))) x5)) (x1 (x4 (x4 (x4 x7))) x6))) x5) x6) x6)))) (x6 = x6) ⟶ ∀ x8 : ο . (∀ x9 . (∀ x10 . x9 = x4 x5) ⟶ x8) ⟶ x8 (proof)
Known FalseE^FalseE : False ⟶ ∀ x0 : ο . x0
Known notE^notE : ∀ x0 : ο . not x0 ⟶ x0 ⟶ False
Known e3ec9..^neq_0_1 : not (0 = 1)
Theorem 88343.. : ∀ x0 : ι → ι → ο . ∀ x1 : ι → ι → ι . ∀ x2 x3 : ι → ο . ∀ x4 : ι → ι . ∀ x5 x6 x7 x8 . (∀ x9 x10 . (∃ x11 . ∀ x13 . (∀ x14 . x8 = x5) ⟶ ∀ x14 : ο . (∀ x15 . (not (x3 x10) ⟶ not (x3 x15)) ⟶ x14) ⟶ x14) ⟶ x7 = x9) ⟶ x1 (x4 (x4 (x4 x6))) (x1 (x1 x8 (x4 x5)) x6) = x4 x8 (proof)

Proofgold Address