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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιο be given.
Let x2 of type ι be given.
Let x3 of type ιο be given.
Assume H0: PNoCutL x0 x1 x2 x3.
Apply H0 with x2x0.
Assume H1: x2x0.
Assume H2: PNoLt x2 x3 x0 x1.
The subproof is completed by applying H1.