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Proofgold Proof

pf
Let x0 of type (ιο) → ο be given.
Let x1 of type (ιο) → ο be given.
Assume H0: e6217.. (a4b00.. x0) (a4b00.. x1).
Apply unknownprop_0dbccb569f5ddef423e0ee189c07cd3312d3f8e28ae0a046781df64b897d9254 with a4b00.. x0, a4b00.. x1, λ x2 : ((ι → ο) → ο) → ο . x2 = a4b00.. x03a6d0.. x0 x1 leaving 3 subgoals.
The subproof is completed by applying H0.
Let x2 of type (ιο) → ο be given.
Assume H1: 3a6d0.. x2 x1.
Assume H2: a4b00.. x2 = a4b00.. x0.
Apply unknownprop_0baf4c86bc102cc7ef5b5a6fba0fc5f1dad77a50acb8dbafd746ed7c6f61a4d8 with x2, x0, λ x3 x4 : (ι → ο) → ο . 3a6d0.. x3 x1 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
Let x2 of type (((ιο) → ο) → ο) → (((ιο) → ο) → ο) → ο be given.
Assume H1: x2 (a4b00.. x0) (a4b00.. x0).
The subproof is completed by applying H1.