OAI/MathematicalPhysics/DefocusingNLS/Certificates/PolynomialRootEnumeration.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

From disjoint disks to an exhaustive polynomial root list

Fifteen disjoint root-containing disks exhaust the roots of a nonzero polynomial of degree at most fifteen, including multiplicities.

  1. theorem OAI.DefocusingNLS.roots_of_fifteen_disks line 16
  2. theorem OAI.DefocusingNLS.positive_real_iff_of_disk line 49
  3. theorem OAI.DefocusingNLS.real_ne_zero_of_disk line 65
  4. theorem OAI.DefocusingNLS.no_axis_root_of_disks line 72
  5. theorem OAI.DefocusingNLS.positive_real_root_count_of_disks line 85