Let x0 of type ο be given.
Let x1 of type ο be given.
Let x2 of type ο be given.
Let x3 of type ο be given.
Apply unknownprop_1c24d71501e8770c98a2a55ffc20efbf99a75199b54cab0238128ab64306e471 with
λ x4 x5 : ο → ο → ο . x5 (or (or x0 x1) x2) x3 ⟶ ∀ x6 : ο . (x0 ⟶ x6) ⟶ (x1 ⟶ x6) ⟶ (x2 ⟶ x6) ⟶ (x3 ⟶ x6) ⟶ x6.
Assume H0:
∀ x4 : ο . (or (or x0 x1) x2 ⟶ x4) ⟶ (x3 ⟶ x4) ⟶ x4.
Let x4 of type ο be given.
Assume H1: x0 ⟶ x4.
Assume H2: x1 ⟶ x4.
Assume H3: x2 ⟶ x4.
Assume H4: x3 ⟶ x4.
Apply H0 with
x4 leaving 2 subgoals.
Assume H5:
or (or x0 x1) x2.
Apply unknownprop_ca18603a3bd7d3baee9f63f87aac7064ee948e21e70ee2e74fd135602574a894 with
x0,
x1,
x2,
x4 leaving 4 subgoals.
The subproof is completed by applying H5.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.