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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: even_nat x0.
Apply H0 with even_nat ((λ x1 . mul_SNo x1 x1) x0).
Assume H1: x0 ∈ omega.
Assume H2: ∃ x1 . and (x1 ∈ omega) (x0 = mul_nat 2 x1).
Apply unknownprop_1b5c00df745cc93293351449f467f824bf93f9c6359e5e0c661ef735395bf658 with x0, x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply omega_nat_p with x0.
The subproof is completed by applying H1.
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