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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ba9d8.. x0.
Let x1 of type ι be given.
Assume H1: prim1 x1 (4ae4a.. x0).
Let x2 of type ι be given.
Assume H2: prim1 x2 x1.
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with x0, x1, prim1 x2 x0 leaving 3 subgoals.
The subproof is completed by applying H1.
Assume H3: prim1 x1 x0.
Apply unknownprop_43b9163da17f2f66e991f3dd23439608e22bc07ac3880a089612020a7b3f5243 with x0, x1, x2 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H3.
The subproof is completed by applying H2.
Assume H3: x1 = x0.
Apply H3 with λ x3 x4 . prim1 x2 x3.
The subproof is completed by applying H2.