Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ι be given.
Let x3 of type ι → ι → ο be given.
Let x4 of type ι → ο be given.
Let x5 of type ι → ο be given.
Assume H0:
x0 = ae02b.. x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Apply H0 with
λ x7 x8 . x5 x6 = decode_p (f482f.. x8 (4ae4a.. (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..))))) x6.
Apply unknownprop_9081fccf73f95188a778287d80f46add838f596299e5169c4fc61fa147ef9607 with
x1,
0fc90.. x1 x2,
d2155.. x1 x3,
1216a.. x1 x4,
1216a.. x1 x5,
λ x7 x8 . x5 x6 = decode_p x8 x6.
Let x7 of type ο → ο → ο be given.
Apply unknownprop_ffe6e40960e279c2bfdd5436564fb47b3416a2f4b47c7977262e0b5dc7ec2541 with
x1,
x5,
x6,
λ x8 x9 : ο . x7 x9 x8.
The subproof is completed by applying H1.