Proofgold Proposition

∀ x0 : ι → (ι → ι → ι → ι) → ι → ι → ι . (∀ x1 . ∀ x2 x3 : ι → ι → ι → ι . (∀ x4 . x4 ∈ x1 ⟶ x2 x4 = x3 x4) ⟶ x0 x1 x2 = x0 x1 x3) ⟶ ∀ x1 . In_rec_iii x0 x1 = x0 x1 (In_rec_iii x0)

type
prop

theory
HotG

name
In_rec_iii_eq

proof
PUVNt..

Megalodon
In_rec_iii_eq

proofgold address
TMe1L..^{In_rec_iii_eq}

creator
4897 Pr6Pc../eb559..

owner
4897 Pr6Pc../eb559..

term root
5f057..