Proofgold Proof

pf

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.

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

The subproof is completed by applying H0.

Apply int_add_SNo with x1, x2 leaving 2 subgoals.

The subproof is completed by applying H1.

The subproof is completed by applying H2.

■