Apply unknownprop_acac0f89c78f08b97a9fe27ba4af5f929f74e43a9a77a0beb38d70975279c8b8 with
λ x0 . ∀ x1 x2 . In x0 x1 ⟶ In x1 x2 ⟶ In x2 x0 ⟶ False.
Let x0 of type ι be given.
Assume H0:
∀ x1 . In x1 x0 ⟶ ∀ x2 x3 . In x1 x2 ⟶ In x2 x3 ⟶ In x3 x1 ⟶ False.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply H0 with
x2,
x0,
x1 leaving 4 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H3.
The subproof is completed by applying H1.
The subproof is completed by applying H2.