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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιιι be given.
Let x2 of type ιιι be given.
Assume H0: ∀ x3 . prim1 x3 x0∀ x4 . prim1 x4 x0x1 x3 x4 = x2 x3 x4.
Apply unknownprop_075a71193d04eff3936ee7246a228619e3dbe0ea2b9d96d40e9b467470ee4a92 with x0, λ x3 . 0fc90.. x0 (λ x4 . x1 x3 x4), λ x3 . 0fc90.. x0 (λ x4 . x2 x3 x4).
Let x3 of type ι be given.
Assume H1: prim1 x3 x0.
Apply unknownprop_075a71193d04eff3936ee7246a228619e3dbe0ea2b9d96d40e9b467470ee4a92 with x0, λ x4 . x1 x3 x4, λ x4 . x2 x3 x4.
Let x4 of type ι be given.
Assume H2: prim1 x4 x0.
Apply H0 with x3, x4 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.