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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: even_nat x0.
Apply H0 with 79148.. x0.
Assume H1: x0omega.
Assume H2: ∃ x1 . and (x1omega) (x0 = mul_nat 2 x1).
Apply andI with x0int, divides_int 2 x0 leaving 2 subgoals.
Apply Subq_omega_int with x0.
The subproof is completed by applying H1.
Apply divides_nat_divides_int with 2, x0.
Apply unknownprop_08fb078d795c0975d950898a1224977eb8db97682ff225342ef66a3071181f64 with x0.
The subproof is completed by applying H0.