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 and_def with
λ x5 x6 : ο → ο → ο . x6 (and (and (and x0 x1) x2) x3) x4 ⟶ ∀ x7 : ο . (x0 ⟶ x1 ⟶ x2 ⟶ x3 ⟶ x4 ⟶ x7) ⟶ x7.
Assume H0:
∀ x5 : ο . (and (and (and x0 x1) x2) x3 ⟶ x4 ⟶ x5) ⟶ x5.
Let x5 of type ο be given.
Assume H1: x0 ⟶ x1 ⟶ x2 ⟶ x3 ⟶ x4 ⟶ x5.
Apply H0 with
x5.
Assume H3: x4.
Apply unknownprop_393331aa82d5f90cae3e68b1582f94e21812379af13e11589a1b3743313e7168 with
x0,
x1,
x2,
x3,
x5 leaving 2 subgoals.
The subproof is completed by applying H2.
Assume H4: x0.
Assume H5: x1.
Assume H6: x2.
Assume H7: x3.
Apply H1 leaving 5 subgoals.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
The subproof is completed by applying H7.
The subproof is completed by applying H3.