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Proofgold Proof

pf
Claim L0: u23 = add_nat u5 u18
Apply unknownprop_566d903739470afda40d64020ac73735d543ec3209342e2b92a42fa9f217751d with λ x0 : ι → ι . λ x1 . 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 (x0 x1))))))))))))))))) leaving 2 subgoals.
The subproof is completed by applying unknownprop_d5dbeec732ea01f927877e2420b51cb5c68f473bf98d93e8571ddfd3f7adea18.
The subproof is completed by applying unknownprop_3392c7cde6ec762e870dfa5fcd6723ccfa166404324c82cc233cb752921f6a90.
Apply L0 with λ x0 x1 . u5ordsucc x1.
Apply unknownprop_65854e80dcdfdaad216d9278c1826bfa6e412eacf7818f3d49e43d93a23f7bcf with u5, u18.
The subproof is completed by applying unknownprop_b6349b103ec0c23863292fe6c57a85341c64566cbff4099647a6f20c72c67730.