Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ο be given.
Let x3 of type ι → ο be given.
Apply or3I3 with
PNoLt_ (d3786.. x0 x1) x2 x3,
and (and (prim1 x0 x1) (PNoEq_ x0 x2 x3)) (x3 x0),
and (and (prim1 x1 x0) (PNoEq_ x1 x2 x3)) (not (x2 x1)).
Apply and3I with
prim1 x1 x0,
PNoEq_ x1 x2 x3,
not (x2 x1) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.