Proofgold Proposition

∀ x0 . SNo x0 ⟶ SNoLe 0 x0 ⟶ (∀ x1 . x1 ∈ SNoS_ (SNoLev x0) ⟶ SNoLe 0 x1 ⟶ and (and (SNo (sqrt_SNo_nonneg x1)) (SNoLe 0 (sqrt_SNo_nonneg x1))) (mul_SNo (sqrt_SNo_nonneg x1) (sqrt_SNo_nonneg x1) = x1)) ⟶ ∀ x1 . nat_p x1 ⟶ and (∀ x2 . x2 ∈ ap (SNo_sqrtaux x0 sqrt_SNo_nonneg x1) 0 ⟶ and (and (SNo x2) (SNoLe 0 x2)) (SNoLt (mul_SNo x2 x2) x0)) (∀ x2 . x2 ∈ ap (SNo_sqrtaux x0 sqrt_SNo_nonneg x1) 1 ⟶ and (and (SNo x2) (SNoLe 0 x2)) (SNoLt x0 (mul_SNo x2 x2)))

type
prop

theory
HotG

name
sqrt_SNo_nonneg_prop1a

proof
PUSRj..

Megalodon
sqrt_SNo_nonneg_prop1a

proofgold address
TMJQ8..^{sqrt_SNo_nonneg_prop1a}

creator
27837 PrQUS../b1532..

owner
27837 PrQUS../b1532..

term root
111bf..