Let x0 of type ο be given.
Let x1 of type ο be given.
Let x2 of type ο be given.
Assume H2: x2.
Apply unknownprop_6c693c6a2aae4a815ab9dda6ac030d427fa2267caf48088e8c9791aaf5b51416 with
λ x3 x4 : ο → ο → ο → ο . x4 x0 x1 x2.
Apply unknownprop_c29620ea10188dd8ed7659bc2875dc8e08f16ffd29713f8ee3146f02f9828ceb with
and (exactly1of2 x0 x1) (not x2),
and (and (not x0) (not x1)) x2.
Apply unknownprop_c7bf67064987d41cefc55afb6af6ecbbb6b830405f2005e0def6e504b3ca3bf3 with
not x0,
not x1,
x2 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.