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.
Let x4 of type ο be given.
Apply unknownprop_1c24d71501e8770c98a2a55ffc20efbf99a75199b54cab0238128ab64306e471 with
λ x5 x6 : ο → ο → ο . x6 (or (or (or x0 x1) x2) x3) x4 ⟶ ∀ x7 : ο . (x0 ⟶ x7) ⟶ (x1 ⟶ x7) ⟶ (x2 ⟶ x7) ⟶ (x3 ⟶ x7) ⟶ (x4 ⟶ x7) ⟶ x7.
Assume H0:
∀ x5 : ο . (or (or (or x0 x1) x2) x3 ⟶ x5) ⟶ (x4 ⟶ x5) ⟶ x5.
Let x5 of type ο be given.
Assume H1: x0 ⟶ x5.
Assume H2: x1 ⟶ x5.
Assume H3: x2 ⟶ x5.
Assume H4: x3 ⟶ x5.
Assume H5: x4 ⟶ x5.
Apply H0 with
x5 leaving 2 subgoals.
Assume H6:
or (or (or x0 x1) x2) x3.
Apply unknownprop_f805535b76fc17584cf91ff9d15f38e6094c3f5be6c200d9f5a5a353fd9f0661 with
x0,
x1,
x2,
x3,
x5 leaving 5 subgoals.
The subproof is completed by applying H6.
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.
The subproof is completed by applying H5.