Let x0 of type ι → ο be given.
Let x1 of type ι → ι → ι be given.
Assume H0: ∀ x2 x3 . x0 x2 ⟶ x0 x3 ⟶ x0 (x1 x2 x3).
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Assume H1: x0 x2.
Assume H2: x0 x3.
Assume H3: x0 x4.
Assume H4: x0 x5.
Assume H5: x0 x6.
Apply H0 with
x2,
x1 x3 (x1 x4 (x1 x5 x6)) leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_b48d4480a5526e51a91293fec1b0b9440be4280265441ce358bda14cced12479 with
x0,
x1,
x3,
x4,
x5,
x6 leaving 5 subgoals.
The subproof is completed by applying H0.
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.