Let x0 of type ι be given.

Assume H0: x0 ∈ int.

Let x1 of type ι be given.

Assume H1: x1 ∈ int.

Let x2 of type ι be given.

Assume H2: x2 ∈ int.

Let x3 of type ι be given.

Assume H3: x3 ∈ int.

Apply int_add_SNo with x0, add_SNo x1 (add_SNo x2 x3) leaving 2 subgoals.

The subproof is completed by applying H0.

Apply unknownprop_a9dff3eed75edafaffb9658311eccbd582a4d2f793113dc0569b6d2e05bbb080 with x1, x2, x3 leaving 3 subgoals.

The subproof is completed by applying H1.

The subproof is completed by applying H2.

The subproof is completed by applying H3.

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Proofgold Proof