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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: nat_p x0.
Assume H1: nat_p x1.
Assume H2: nat_p x2.
Assume H3: Subq x1 x2.
Apply unknownprop_0bc05861c326df1bc856e9663c3bd091fe6729155095d255366b172bf07600be with x0, x1, λ x3 x4 . Subq x4 (add_nat x0 x2) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_0bc05861c326df1bc856e9663c3bd091fe6729155095d255366b172bf07600be with x0, x2, λ x3 x4 . Subq (add_nat x1 x0) x4 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply unknownprop_6e5a11d05d85f4b7df7fc96ea27485689351f9a7d64e0743959f30286853327c with x1, x2, x0 leaving 4 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H0.