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 . x2 = f482f.. x4 (4ae4a.. 4a7ef..).

Let x3 of type ι → ι → ο be given.

The subproof is completed by applying unknownprop_327f4faff65d2b4b341be7a5ceca39a573a558eea38825726ce72538879f3bc4 with x1, x2, λ x4 x5 . x3 x5 x4.

■

Proofgold Proof