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Proofgold Proof

pf
Claim L0: u23 = add_nat u19 u4
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 (x0 (x0 (x0 (x0 x1)))))))))))))))))), λ x0 : ι → ι . λ x1 . x0 (x0 (x0 (x0 x1))) leaving 2 subgoals.
The subproof is completed by applying unknownprop_0b2248e98d0d89125f4c53421eabb107ce2599353975237d878ac71e2eb664b5.
The subproof is completed by applying unknownprop_0f550b8cced5ea1f455298ffde5b88dddc3f6692b79c37a449e508fb9e7a27ed.
Apply L0 with λ x0 x1 . u19ordsucc x1.
Apply unknownprop_65854e80dcdfdaad216d9278c1826bfa6e412eacf7818f3d49e43d93a23f7bcf with u19, u4.
The subproof is completed by applying nat_4.