Let x0 of type ι → (ι → ο) → ο be given.
Let x1 of type ι → (ι → ο) → ο be given.
Let x2 of type ι be given.
Let x3 of type ι → ο be given.
Let x4 of type ι → ο be given.
Apply H2 with
PNo_strict_imv x0 x1 x2 x4.
Apply andI with
PNo_strict_upperbd x0 x2 x4,
PNo_strict_lowerbd x1 x2 x4 leaving 2 subgoals.
Apply PNoEq_strict_upperbd with
x0,
x2,
x3,
x4 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H3.
Apply PNoEq_strict_lowerbd with
x1,
x2,
x3,
x4 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H4.