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Proofgold Proof

pf
Apply add_nat_SR with u6, u11, λ x0 x1 . x1 = u18 leaving 2 subgoals.
The subproof is completed by applying nat_11.
Apply add_nat_com with u6, u11, λ x0 x1 . ordsucc x1 = u18 leaving 3 subgoals.
The subproof is completed by applying nat_6.
The subproof is completed by applying nat_11.
Apply unknownprop_df15fb7a07da4a2b5124ddea4e33f012b3f09ace77b002ed675c7b110878b43a with λ x0 x1 . ordsucc x1 = u18.
Let x0 of type ιιο be given.
Assume H0: x0 18 u18.
The subproof is completed by applying H0.