Definition False^False := ∀ x0 : ο . x0
Definition not^not := λ x0 : ο . x0 ⟶ False
Known FalseE^FalseE : False ⟶ ∀ x0 : ο . x0
Theorem ce43d.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 : ι → ι → ι → ι → ο . (∀ x4 . x0 x4 ⟶ ∀ x5 . x1 x5 ⟶ ∀ x6 . x0 x6 ⟶ ∀ x7 . x0 x7 ⟶ not (x1 x7) ⟶ x2 x4 x5 x6 x7) ⟶ (∀ x4 x5 x6 x7 . x0 x4 ⟶ x0 x5 ⟶ x0 x6 ⟶ x0 x7 ⟶ ∀ x8 : ο . (x2 x4 x5 x6 x7 ⟶ x8) ⟶ (x3 x4 x5 x6 x7 ⟶ x8) ⟶ (x2 x6 x7 x4 x5 ⟶ x8) ⟶ x8) ⟶ (∀ x4 x5 x6 x7 . x0 x4 ⟶ x0 x5 ⟶ x0 x6 ⟶ x0 x7 ⟶ x3 x4 x5 x6 x7 ⟶ x3 x6 x7 x4 x5) ⟶ ∀ x4 . x0 x4 ⟶ ∀ x5 . x0 x5 ⟶ ∀ x6 . x0 x6 ⟶ ∀ x7 . x0 x7 ⟶ ∀ x8 . x0 x8 ⟶ ∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ ∀ x11 . x0 x11 ⟶ ∀ x12 . x0 x12 ⟶ ∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ ∀ x15 . x0 x15 ⟶ x1 x5 ⟶ not (x1 x7) ⟶ not (x1 x9) ⟶ not (x1 x11) ⟶ not (x1 x13) ⟶ not (x1 x15) ⟶ not (x3 x4 x5 x6 x7) ⟶ not (x3 x4 x5 x8 x9) ⟶ not (x3 x4 x5 x10 x11) ⟶ not (x3 x4 x5 x12 x13) ⟶ not (x3 x4 x5 x14 x15) ⟶ not (x3 x6 x7 x8 x9) ⟶ not (x3 x6 x7 x10 x11) ⟶ not (x3 x6 x7 x12 x13) ⟶ not (x3 x6 x7 x14 x15) ⟶ not (x3 x8 x9 x10 x11) ⟶ not (x3 x8 x9 x12 x13) ⟶ not (x3 x8 x9 x14 x15) ⟶ not (x3 x10 x11 x12 x13) ⟶ not (x3 x10 x11 x14 x15) ⟶ not (x3 x12 x13 x14 x15) ⟶ ∀ x16 : ο . (∀ x17 . x0 x17 ⟶ ∀ x18 . x0 x18 ⟶ ∀ x19 . x0 x19 ⟶ ∀ x20 . x0 x20 ⟶ ∀ x21 . x0 x21 ⟶ ∀ x22 . x0 x22 ⟶ ∀ x23 . x0 x23 ⟶ ∀ x24 . x0 x24 ⟶ ∀ x25 . x0 x25 ⟶ ∀ x26 . x0 x26 ⟶ x2 x4 x5 x17 x18 ⟶ x2 x17 x18 x19 x20 ⟶ x2 x19 x20 x21 x22 ⟶ x2 x21 x22 x23 x24 ⟶ x2 x23 x24 x25 x26 ⟶ not (x1 x18) ⟶ not (x1 x20) ⟶ not (x1 x22) ⟶ not (x1 x24) ⟶ not (x1 x26) ⟶ not (x3 x4 x5 x17 x18) ⟶ not (x3 x4 x5 x19 x20) ⟶ not (x3 x4 x5 x21 x22) ⟶ not (x3 x4 x5 x23 x24) ⟶ not (x3 x4 x5 x25 x26) ⟶ not (x3 x17 x18 x19 x20) ⟶ not (x3 x17 x18 x21 x22) ⟶ not (x3 x17 x18 x23 x24) ⟶ not (x3 x17 x18 x25 x26) ⟶ not (x3 x19 x20 x21 x22) ⟶ not (x3 x19 x20 x23 x24) ⟶ not (x3 x19 x20 x25 x26) ⟶ not (x3 x21 x22 x23 x24) ⟶ not (x3 x21 x22 x25 x26) ⟶ not (x3 x23 x24 x25 x26) ⟶ x16) ⟶ x16 (proof)

Proofgold Asset