Proofgold Proposition

∀ x0 . nat_p x0 ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ ordsucc x0 ⟶ x1 x2 ∈ x0) ⟶ not (∀ x2 . x2 ∈ ordsucc x0 ⟶ ∀ x3 . x3 ∈ ordsucc x0 ⟶ x1 x2 = x1 x3 ⟶ x2 = x3)

type
prop

theory
HotG

name
PigeonHole_nat

proof
PUfQZ..

Megalodon
PigeonHole_nat

proofgold address
TMVN7..^{PigeonHole_nat}

creator
4898 Pr6Pc../52b12..

owner
4898 Pr6Pc../52b12..

term root
d756b..