Let x0 of type ο be given.
Let x1 of type ο be given.
Assume H0: x0 = x1.
Apply unknownprop_389e2fb1855352fcc964ea44fe6723d7a1c2d512f04685300e3e97621725b977 with
x0 ⟶ x1,
x1 ⟶ x0 leaving 2 subgoals.
Assume H1: x0.
set y2 to be λ x2 : ο . x2
Apply H0 with
λ x3 x4 : ο . y2 x3.
The subproof is completed by applying H1.
Assume H1: x1.
set y2 to be λ x2 : ο . x2
set y3 to be λ x3 : ο . x3 = x0
Apply H0 with
λ x4 x5 : ο . y3 x4,
λ x4 x5 : ο . y3 x4 leaving 2 subgoals.
Let x4 of type ο → ο → ο be given.
Assume H2: x4 x1 x1.
The subproof is completed by applying H2.
The subproof is completed by applying H1.