Proofgold Proof

pf
Let x0 of type ι be given. Let x1 of type ι → ο be given. Let x2 of type ι be given. Let x3 of type ι → ο be given. Assume H0: PNoCutR x0 x1 x2 x3. Apply H0 with x2 ∈ x0. Assume H1: x2 ∈ x0. Assume H2: PNoLt x0 x1 x2 x3. The subproof is completed by applying H1. ■