Let x0 of type ι be given.

Let x1 of type ι be given.

Let x2 of type ι be given.

Assume H0: x0 = 0fc90.. (4ae4a.. (4ae4a.. 4a7ef..)) (λ x3 . If_i (x3 = 4a7ef..) x1 x2).

Apply H0 with λ x3 x4 . x1 = f482f.. x4 4a7ef...

Let x3 of type ι → ι → ο be given.

The subproof is completed by applying unknownprop_67d8fddea88125b50903f4bd482ed1753cb719c67016df79894ab3055421315b with x1, x2, λ x4 x5 . x3 x5 x4.

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Proofgold Proof