Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι → ο be given.
Let x2 of type ι → ι → ο be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Apply unknownprop_2e4c9e9bb00a1e00d61dddf5b93521d4a44a5cf34a5d77eca45d066a0b32082a with
x0,
x1,
x2,
x3,
x4,
λ x6 . x5 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Let x6 of type ι be given.
Apply unknownprop_83873cc3f394cff67960e4321a77e645c08b4e927bbc339c0bd70cc1badfaec9 with
x0,
x1,
x2,
x5,
x3,
a603a.. x2 x6 x4 leaving 2 subgoals.
The subproof is completed by applying H2.
Let x7 of type ι be given.
Let x8 of type ι be given.
Assume H3: x2 x7 x8.
Apply orIL with
x2 x7 x8,
and (x7 = x6) (x8 = x4).
The subproof is completed by applying H3.