Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H1:
In x3 (x1 x2).
Apply unknownprop_0bc1e6c77e36f428b4f8a3657d1f006ea28b568ebe9c995e5a7c18b75045b2a3 with
λ x4 x5 : ι → (ι → ι) → ι . In x3 (x5 x0 x1).
Apply unknownprop_bb7319fda7123d5f775b6b29aaea60dee8b8450dbda3fb13de42ee7deaa111d5 with
Repl x0 x1,
x3,
x1 x2 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_63c308b92260dbfca8c9530846e6836ba3e6be221cc8e80fd61db913e01bdacf with
x0,
x1,
x2.
The subproof is completed by applying H0.