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Proofgold Proof

pf
Apply add_nat_SR with u12, 11, λ x0 x1 . x1 = u24 leaving 2 subgoals.
The subproof is completed by applying nat_11.
Apply add_nat_SR with u12, 10, λ x0 x1 . ordsucc x1 = u24 leaving 2 subgoals.
The subproof is completed by applying nat_10.
Apply add_nat_SR with u12, 9, λ x0 x1 . ordsucc (ordsucc x1) = u24 leaving 2 subgoals.
The subproof is completed by applying nat_9.
Apply add_nat_SR with u12, 8, λ x0 x1 . ordsucc (ordsucc (ordsucc x1)) = u24 leaving 2 subgoals.
The subproof is completed by applying nat_8.
Apply unknownprop_b33aad4170c7ebf5ee86317c9537bc390b0f7bb04160dd56f108c957fae4db5d with λ x0 x1 . ordsucc (ordsucc (ordsucc (ordsucc x1))) = u24.
Let x0 of type ιιο be given.
Assume H0: x0 (ordsucc (ordsucc (ordsucc (ordsucc u20)))) u24.
The subproof is completed by applying H0.