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Proofgold Proof

pf
Claim L0: u23 = add_nat u6 u17
Apply unknownprop_566d903739470afda40d64020ac73735d543ec3209342e2b92a42fa9f217751d with λ x0 : ι → ι . λ x1 . x0 (x0 (x0 (x0 (x0 (x0 x1))))), λ x0 : ι → ι . λ x1 . x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 (x0 x1)))))))))))))))) leaving 2 subgoals.
The subproof is completed by applying unknownprop_d88f1786c40d73ebcad9492ae157666ffaa1a988fabe7b490c410a05ef1ea275.
The subproof is completed by applying unknownprop_2169d21de601d42cf8c0876b332a1b9f60ec3afcda9c9b50cf06e052fa439595.
Apply L0 with λ x0 x1 . u6ordsucc x1.
Apply unknownprop_65854e80dcdfdaad216d9278c1826bfa6e412eacf7818f3d49e43d93a23f7bcf with u6, u17.
The subproof is completed by applying nat_17.