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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0int.
Let x1 of type ι be given.
Assume H1: x1int.
Let x2 of type ι be given.
Apply and4I with x0int, x1int, x2int, ∃ x3 . and (x3int) (∃ x4 . and (x4int) (add_SNo (mul_SNo x3 x0) (mul_SNo x4 x1) = x2)) leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.