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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_dd5df7669a233e3d5e134397e0a0943dece6dcd81d988e2d3c963c02c7bcf901 with x0, x1, λ x3 x4 . Subq x4 (mul_nat x0 x2) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_dd5df7669a233e3d5e134397e0a0943dece6dcd81d988e2d3c963c02c7bcf901 with x0, x2, λ x3 x4 . Subq (mul_nat x1 x0) x4 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply unknownprop_f30a739e8afbcceddcf7416407d2fb53c7a0b07746a8e26223dddaa1c90261dd 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.