Let x0 of type ι be given.

Let x1 of type ι → ι be given.

Let x2 of type ι be given.

Apply unknownprop_0e196a42801a85c375f9ddf24d12703e84f3cb2a30f0d38cf82a793a3f90c693 with x0, x1, x2, prim1 x2 (94f9e.. x0 (λ x3 . x1 x3)) ⟶ ∃ x3 . and (prim1 x3 x0) (x2 = x1 x3).

Assume H0: prim1 x2 (94f9e.. x0 x1) ⟶ ∃ x3 . and (prim1 x3 x0) (x2 = x1 x3).

Assume H1: (∃ x3 . and (prim1 x3 x0) (x2 = x1 x3)) ⟶ prim1 x2 (94f9e.. x0 x1).

The subproof is completed by applying H0.

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Proofgold Proof