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 x3 . x2 ∈ x0 ⟶ ∀ x4 . nat_p x4 ⟶ (∀ x5 . x5 ∈ x0 ⟶ (x5 = x2 ⟶ ∀ x6 : ο . x6) ⟶ not (x1 x5 x2) ⟶ or (equip (binintersect (DirGraphOutNeighbors x0 x1 x5) (DirGraphOutNeighbors x0 x1 x2)) x4) (equip (binintersect (DirGraphOutNeighbors x0 x1 x5) (DirGraphOutNeighbors x0 x1 x2)) (ordsucc x4))) ⟶ (∀ x5 . x5 ∈ {x6 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x2) (Sing x2))|equip (binintersect (DirGraphOutNeighbors x0 x1 x6) (DirGraphOutNeighbors x0 x1 x2)) x4} ⟶ not (x1 x3 x5)) ⟶ (∀ x5 . x5 ∈ setminus (DirGraphOutNeighbors x0 x1 x3) (Sing x2) ⟶ not (x1 x2 x5)) ⟶ ∀ x5 . x5 ∈ setminus (DirGraphOutNeighbors x0 x1 x3) (Sing x2) ⟶ equip (binintersect (DirGraphOutNeighbors x0 x1 x5) (DirGraphOutNeighbors x0 x1 x2)) (ordsucc x4)

type
prop

theory
HotG

name
-

proof
PUMia..

Megalodon
-

proofgold address
TMNiJ..

creator
27176 Pr4zB../ae955..

owner
27195 Pr4zB../35294..

term root
164be..