Proofgold Proposition

∀ x0 : ι → (ι → ι → ι → ι) → ι → ι → ι . ∀ x1 . ∀ x2 : ι → ι → ι . In_rec_G_iii x0 x1 x2 ⟶ ∀ x3 : ο . (∀ x4 : ι → ι → ι → ι . and (∀ x5 . x5 ∈ x1 ⟶ In_rec_G_iii x0 x5 (x4 x5)) (x2 = x0 x1 x4) ⟶ x3) ⟶ x3

type
prop

theory
HotG

name
In_rec_G_iii_inv

proof
PUVNt..

Megalodon
In_rec_G_iii_inv

proofgold address
TMRfr..^{In_rec_G_iii_inv}

creator
4897 Pr6Pc../04529..

owner
4897 Pr6Pc../04529..

term root
5f6e0..