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 x4 x5 x6 x7 x8 x9 x10 x11 . x9 ⊆ x0 ⟶ x11 ⊆ x0 ⟶ x8 = setminus (DirGraphOutNeighbors x0 x1 x4) (Sing x5) ⟶ x10 = setminus (DirGraphOutNeighbors x0 x1 x5) (Sing x4) ⟶ x9 = {x13 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x4) (Sing x4))|equip (binintersect (DirGraphOutNeighbors x0 x1 x13) (DirGraphOutNeighbors x0 x1 x4)) x2} ⟶ x11 = setminus {x13 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x4) (Sing x4))|equip (binintersect (DirGraphOutNeighbors x0 x1 x13) (DirGraphOutNeighbors x0 x1 x4)) x3} x10 ⟶ (∀ x12 . x12 ∈ x9 ⟶ nIn x12 x8) ⟶ (∀ x12 . x12 ∈ x9 ⟶ nIn x12 x11) ⟶ (∀ x12 . x12 ∈ x8 ⟶ nIn x12 x11) ⟶ x6 ∈ x9 ⟶ x7 ∈ x11 ⟶ x1 x6 x7 ⟶ ∀ x12 x13 : ι → ι . x1 x6 (x12 x6) ⟶ (∀ x14 . x14 ∈ x8 ⟶ x13 x14 ∈ {x15 ∈ setminus x0 (binunion (DirGraphOutNeighbors x0 x1 x4) (Sing x4))|equip (binintersect (DirGraphOutNeighbors x0 x1 x15) (DirGraphOutNeighbors x0 x1 x4)) x2}) ⟶ (∀ x14 . x14 ∈ x8 ⟶ x12 (x13 x14) = x14) ⟶ atleastp x3 {x14 ∈ setminus x9 (Sing x6)|x1 (x12 x14) x7}

type
prop

theory
HotG

name
-

proof
PUesR..

Megalodon
-

proofgold address
TMYWE..

creator
28305 Pr4zB../fb2ac..

owner
28307 Pr4zB../dacf6..

term root
afd8b..