Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ο be given.
Apply unknownprop_9c4323d14785b84a66d449068a5854b52f7f14bc003d3f63275870fa29b9e25d with
λ x3 x4 : ι → (ι → ο) → ι → (ι → ο) → ο . x4 x0 x1 x0 x2.
Apply unknownprop_c29620ea10188dd8ed7659bc2875dc8e08f16ffd29713f8ee3146f02f9828ceb with
PNoLt x0 x1 x0 x2,
and (x0 = x0) (PNoEq_ x0 x1 x2).
Apply unknownprop_389e2fb1855352fcc964ea44fe6723d7a1c2d512f04685300e3e97621725b977 with
x0 = x0,
PNoEq_ x0 x1 x2 leaving 2 subgoals.
Let x3 of type ι → ι → ο be given.
Assume H1: x3 x0 x0.
The subproof is completed by applying H1.
The subproof is completed by applying H0.