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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: int_lin_comb x0 x1 x2.
Apply int_lin_comb_E with x0, x1, x2, x1int leaving 2 subgoals.
The subproof is completed by applying H0.
Assume H1: x0int.
Assume H2: x1int.
Assume H3: x2int.
Let x3 of type ι be given.
Assume H4: x3int.
Let x4 of type ι be given.
Assume H5: x4int.
Assume H6: add_SNo (mul_SNo x3 x0) (mul_SNo x4 x1) = x2.
The subproof is completed by applying H2.