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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: SNoCutP x0 x1.
Apply minus_SNoCut_eq_lem with SNoCut x0 x1, x0, x1 leaving 3 subgoals.
Apply SNoCutP_SNo_SNoCut with x0, x1.
The subproof is completed by applying H0.
The subproof is completed by applying H0.
Let x2 of type ιιο be given.
Assume H1: x2 (SNoCut x0 x1) (SNoCut x0 x1).
The subproof is completed by applying H1.