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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: nat_p x0.
Let x1 of type ι be given.
Assume H1: nat_p x1.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H2: equip x2 x0.
Assume H3: equip x3 x1.
Apply unknownprop_01b7f7993ff222473c0dc551f861729864a2fa847d49dc4751edad0602198144 with setsum x2 x3, setsum x0 x1, add_nat x0 x1 leaving 2 subgoals.
Apply unknownprop_092a01ae1d0b9a6545cd8d7970276c4297444af2ad61da23593151943992d677 with x2, x3, x0, x1 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Apply unknownprop_fdfb3bc0b63e07822df027346a439c33cc340718a5ebbc484b4889f8644512aa with x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.