Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type (ι → ο) → ο be given.
Let x3 of type ι → ο be given.
Assume H1:
∀ x4 . x3 x4 ⟶ prim1 x4 x1.
Apply H0 with
λ x4 x5 . x2 x3 = decode_c (f482f.. x5 (4ae4a.. 4a7ef..)) x3.
Apply unknownprop_327f4faff65d2b4b341be7a5ceca39a573a558eea38825726ce72538879f3bc4 with
x1,
e0e40.. x1 x2,
λ x4 x5 . x2 x3 = decode_c x5 x3.
Let x4 of type ο → ο → ο be given.
Apply unknownprop_886a0247cbff495e94c1ec5112ed0f7c7f0106e52309f23fc3d66d990ba40bea with
x1,
x2,
x3,
λ x5 x6 : ο . x4 x6 x5.
The subproof is completed by applying H1.