Proofgold Proposition

∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 x3 . x1 x2 x3 ⟶ x1 x3 x2) ⟶ ∀ 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 : ο . (∀ x8 . and (x8 ∈ setminus (DirGraphOutNeighbors x0 x1 x4) (Sing x3)) (x1 x6 x8) ⟶ x7) ⟶ x7

type
prop

theory
HotG

name
-

proof
PUV9f..

Megalodon
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proofgold address
TMdyU..

creator
29305 Pr4zB../041a1..

owner
29305 Pr4zB../041a1..

term root
00264..