Complete quartic exclusion #
The classified feedback place is transported algebraically to the zero place. The complete zero-place slice theorem then excludes every possible second direction in the normalized seed plane.
theorem
UnrestrictedBooleanMul.N4.seedUsingQuarticClassifiedForm_impossible
{g : ANF 8}
(h : SeedUsingQuarticClassifiedForm g)
:
theorem
UnrestrictedBooleanMul.N4.NormalizedEight.seed_quarticProbe_eq_zero
{C : Circuit 8 8}
(h : NormalizedEight C)
:
The normalized seed gate has zero quartic high part.