OAI/MathematicalPhysics/DefocusingNLS/Certificates/BoundaryEvenCoefficients.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.DefocusingNLS.BoundaryCertificate.evenValues line 16
2. theorem OAI.DefocusingNLS.BoundaryCertificate.evenCoefficients_sound line 19
3. theorem OAI.DefocusingNLS.BoundaryCertificate.transformed_sound line 38

   Source documentation

   The actual homogeneous transform is enclosed by precisely the list whose sixteen coefficient inequalities were checked in the kernel.

   theorem transformed_sound (ell : ℕ) (b Z : ℝ)
       (hb : |100000000 * b - 33477607| ≤ 2) (hZ : |100000000 * Z - 270506819| ≤ 2)
       (U V J : ℤ) :
       EnclosesPolynomial (transformed ell U V J)
         (homogeneousHorner U V J (evenValues ell b Z)) := by
   …

   Mentions: OAI.DefocusingNLS.BoundaryCertificate.transformed, OAI.DefocusingNLS.BoundaryCertificate.homogeneousHorner, OAI.DefocusingNLS.BoundaryCertificate.evenValues