Proofgold Proposition

∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 x3 . x1 x2 x3 ⟶ x1 x3 x2) ⟶ (∀ x2 . x2 ⊆ x0 ⟶ atleastp u3 x2 ⟶ not (∀ x3 . x3 ∈ x2 ⟶ ∀ x4 . x4 ∈ x2 ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ x1 x3 x4)) ⟶ (∀ x2 . x2 ⊆ x0 ⟶ atleastp u6 x2 ⟶ not (∀ x3 . x3 ∈ x2 ⟶ ∀ x4 . x4 ∈ x2 ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ not (x1 x3 x4))) ⟶ ∀ x2 . x2 ⊆ x0 ⟶ ∀ x3 x4 x5 x6 . x2 = SetAdjoin (SetAdjoin (UPair x3 x4) x5) x6 ⟶ (x4 = x3 ⟶ ∀ x7 : ο . x7) ⟶ (x5 = x3 ⟶ ∀ x7 : ο . x7) ⟶ (x6 = x3 ⟶ ∀ x7 : ο . x7) ⟶ (x5 = x4 ⟶ ∀ x7 : ο . x7) ⟶ (x6 = x4 ⟶ ∀ x7 : ο . x7) ⟶ (x6 = x5 ⟶ ∀ x7 : ο . x7) ⟶ x1 x3 x4 ⟶ x1 x4 x5 ⟶ x1 x5 x6 ⟶ x1 x6 x3 ⟶ (∀ x7 . x7 ∈ binintersect (DirGraphOutNeighbors x0 x1 x3) (DirGraphOutNeighbors x0 x1 x5) ⟶ or (x7 = x4) (x7 = x6)) ⟶ (∀ x7 . x7 ∈ binintersect (DirGraphOutNeighbors x0 x1 x4) (DirGraphOutNeighbors x0 x1 x6) ⟶ or (x7 = x3) (x7 = x5)) ⟶ ∀ x7 . x7 ∈ x2 ⟶ ∀ x8 . x8 ∈ x2 ⟶ (x7 = x8 ⟶ ∀ x9 : ο . x9) ⟶ ∀ x9 . x9 ∈ binintersect (DirGraphOutNeighbors x0 x1 x7) (DirGraphOutNeighbors x0 x1 x8) ⟶ x9 ∈ x2

type
prop

theory
HotG

name
-

proof
PUhcZ..

Megalodon
-

proofgold address
TMR5E..

creator
23121 Pr4zB../51c55..

owner
23131 Pr4zB../7dfb7..

term root
2ec58..