Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Let x2 of type ι → ι be given.
Assume H0:
∀ x3 . In x3 x0 ⟶ x1 x3 = x2 x3.
Apply unknownprop_a23ec6a55ac212526d74cbf0d04096929ad453b0eb0f8023e32b8a33930d39fb with
Repl x0 (λ x3 . x1 x3),
Repl x0 (λ x3 . x2 x3) leaving 2 subgoals.
Apply unknownprop_96a3e91612eb70da27285b89e3bc29313c889c92d008da577a0c13f519245196 with
x0,
x1,
x2.
The subproof is completed by applying H0.
Apply unknownprop_96a3e91612eb70da27285b89e3bc29313c889c92d008da577a0c13f519245196 with
x0,
x2,
x1.
Let x3 of type ι be given.
Let x4 of type ι → ι → ο be given.
Assume H2: x4 (x2 x3) (x1 x3).
Apply H0 with
x3,
λ x5 x6 . x4 x6 x5 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.