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 and_def with
λ x4 x5 : ο → ο → ο . x5 (and (and x0 x1) x2) x3 ⟶ ∀ x6 : ο . (x0 ⟶ x1 ⟶ x2 ⟶ x3 ⟶ x6) ⟶ x6.
Assume H0:
∀ x4 : ο . (and (and x0 x1) x2 ⟶ x3 ⟶ x4) ⟶ x4.
Let x4 of type ο be given.
Assume H1: x0 ⟶ x1 ⟶ x2 ⟶ x3 ⟶ x4.
Apply H0 with
x4.
Assume H2:
and (and x0 x1) x2.
Assume H3: x3.
Apply unknownprop_1eb28f5831a9d21e218b89c238edbbf849d22045bb77ce7cec926a651d1793f0 with
x0,
x1,
x2,
x4 leaving 2 subgoals.
The subproof is completed by applying H2.
Assume H4: x0.
Assume H5: x1.
Assume H6: x2.
Apply H1 leaving 4 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 H3.