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Proofgold Proof

pf
Claim L0: u23 = add_nat u15 u8
Apply unknownprop_566d903739470afda40d64020ac73735d543ec3209342e2b92a42fa9f217751d with λ x0 : ι → ι . λ x1 . x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 x1)))))))))))))), λ x0 : ι → ι . λ x1 . x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 x1))))))) leaving 2 subgoals.
The subproof is completed by applying unknownprop_b69aeea3b10b846ee5e419c1b471f03ef85ead2b77c13f4aa8b04c94af6c6775.
The subproof is completed by applying unknownprop_b9e6d5b35571f03f64e8d464e3aeeb947c17781fcebbb508bd1e4f61ea58ad5e.
Apply L0 with λ x0 x1 . u15ordsucc x1.
Apply unknownprop_65854e80dcdfdaad216d9278c1826bfa6e412eacf7818f3d49e43d93a23f7bcf with u15, u8.
The subproof is completed by applying nat_8.