Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ι be given.
Let x3 of type ι be given.
Assume H0:
prim1 x3 (a4c2a.. x0 (λ x4 . x1 x4) (λ x4 . x2 x4)).
Let x4 of type ο be given.
Assume H1:
∀ x5 . prim1 x5 x0 ⟶ x1 x5 ⟶ x3 = x2 x5 ⟶ x4.
Apply unknownprop_de6cffccf8c53dd495a5c1a1bf83694c5c7c3768d5707a3bce3b3303b9bd7bb2 with
x0,
x1,
x2,
x3,
x4 leaving 2 subgoals.
The subproof is completed by applying H0.
Let x5 of type ι be given.
Assume H2:
(λ x6 . and (prim1 x6 x0) (and (x1 x6) (x3 = x2 x6))) x5.
Apply H2 with
x4.
Assume H4:
and (x1 x5) (x3 = x2 x5).
Apply H4 with
x4.
Assume H5: x1 x5.
Assume H6: x3 = x2 x5.
Apply H1 with
x5 leaving 3 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H5.
The subproof is completed by applying H6.