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 . nat_p x2 ⟶ ∀ x3 x4 . x3 ∈ x0 ⟶ x4 ∈ DirGraphOutNeighbors x0 x1 x3 ⟶ (∀ x5 . x5 ∈ {x6 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x3) (Sing x3))|equip (binintersect (DirGraphOutNeighbors x0 x1 x6) (DirGraphOutNeighbors x0 x1 x3)) x2} ⟶ not (x1 x4 x5)) ⟶ ∀ x5 : ι → ι . (∀ x6 . x6 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x4) (Sing x4)) ⟶ x5 x6 ∈ binintersect (DirGraphOutNeighbors x0 x1 x6) (DirGraphOutNeighbors x0 x1 x4)) ⟶ (∀ x6 . x6 ∈ {x7 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x3) (Sing x3))|equip (binintersect (DirGraphOutNeighbors x0 x1 x7) (DirGraphOutNeighbors x0 x1 x3)) x2} ⟶ ∀ x7 . x7 ∈ DirGraphOutNeighbors x0 x1 x3 ⟶ x1 x7 x6 ⟶ x7 = x5 x6) ⟶ ∀ x6 . x6 ∈ {x7 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x3) (Sing x3))|equip (binintersect (DirGraphOutNeighbors x0 x1 x7) (DirGraphOutNeighbors x0 x1 x3)) x2} ⟶ ∀ x7 : ο . (∀ x8 . and (x8 ∈ setminus (DirGraphOutNeighbors x0 x1 x4) (Sing x3)) (x1 x6 x8) ⟶ x7) ⟶ x7

type
prop

theory
HotG

name
-

proof
PUV9f..

Megalodon
-

proofgold address
TMSQY..

creator
29305 Pr4zB../37fe5..

owner
29306 Pr4zB../40295..

term root
2258e..