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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: TransSet x0.
Let x1 of type ι be given.
Assume H1: prim1 x1 x0.
Let x2 of type ι be given.
Assume H2: prim1 x2 (4ae4a.. x1).
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with x1, x2, prim1 x2 x0 leaving 3 subgoals.
The subproof is completed by applying H2.
Assume H3: prim1 x2 x1.
Apply H0 with x1, x2 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H3.
Assume H3: x2 = x1.
Apply H3 with λ x3 x4 . prim1 x4 x0.
The subproof is completed by applying H1.