Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι → ι → ι be given.
Assume H0:
∀ x4 . prim1 x4 x0 ⟶ ∀ x5 . prim1 x5 (x1 x4) ⟶ x2 x4 x5 = x3 x4 x5.
Apply unknownprop_075a71193d04eff3936ee7246a228619e3dbe0ea2b9d96d40e9b467470ee4a92 with
x0,
λ x4 . 0fc90.. (x1 x4) (λ x5 . x2 x4 x5),
λ x4 . 0fc90.. (x1 x4) (λ x5 . x3 x4 x5).
Let x4 of type ι be given.
Apply unknownprop_075a71193d04eff3936ee7246a228619e3dbe0ea2b9d96d40e9b467470ee4a92 with
x1 x4,
λ x5 . x2 x4 x5,
λ x5 . x3 x4 x5.
Let x5 of type ι be given.
Assume H2:
prim1 x5 (x1 x4).
Apply H0 with
x4,
x5 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.