Let x0 of type ο be given.
Let x1 of type ο be given.
Let x2 of type ο be given.
Apply unknownprop_1c24d71501e8770c98a2a55ffc20efbf99a75199b54cab0238128ab64306e471 with
λ x3 x4 : ο → ο → ο . x4 (x4 x0 x1) x2 ⟶ ∀ x5 : ο . (x0 ⟶ x5) ⟶ (x1 ⟶ x5) ⟶ (x2 ⟶ x5) ⟶ x5.
Assume H0: ∀ x3 : ο . ((∀ x4 : ο . (x0 ⟶ x4) ⟶ (x1 ⟶ x4) ⟶ x4) ⟶ x3) ⟶ (x2 ⟶ x3) ⟶ x3.
Let x3 of type ο be given.
Assume H1: x0 ⟶ x3.
Assume H2: x1 ⟶ x3.
Assume H3: x2 ⟶ x3.
Apply H0 with
x3 leaving 2 subgoals.
Assume H4: ∀ x4 : ο . (x0 ⟶ x4) ⟶ (x1 ⟶ x4) ⟶ x4.
Apply H4 with
x3 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.