Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Apply unknownprop_7e986439242ce85fa04e4b7be2035418e9dbee6641ed66c6c5b7be52a2254fca with
x2,
x3,
λ x4 x5 . prim1 x3 (x1 x4).
Apply unknownprop_916f469d850241375b1e44b2c6308f0113078869ceee129c02712fae69c32a37 with
x2,
x3,
λ x4 x5 . prim1 x4 (x1 (e76d4.. (aae7a.. x2 x3))).
Apply unknownprop_39778cd4b79940b57d8e2a75e110efc525ea390ceb2294eb222b7e4525c53c50 with
x0,
x1,
aae7a.. x2 x3.
The subproof is completed by applying H0.