OAI/Geometry/Convex/GeneralMahler/Budget/FinalR.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

Interaction with R and cost of Sigma.

  1. lemma OAI.GeneralMahler.Veven line 11
  2. lemma OAI.GeneralMahler.trace_star_r line 13
  3. lemma OAI.GeneralMahler.pj_cyc3 line 14
  4. lemma OAI.GeneralMahler.ipN_ent line 24
  5. lemma OAI.GeneralMahler.ipN_comm line 26
  6. lemma OAI.GeneralMahler.young_H line 27
  7. lemma OAI.GeneralMahler.hsN_mul_bdd line 39
  8. lemma OAI.GeneralMahler.log_low line 60

    Source comment

    logarithm bound by derivative sign
    lemma log_low (x:ℝ) (hx:tmin≤x):
        x- Real.log (1+x) ≤ x^2/(2*(1+tmin)) := by
    …

    Mentions: OAI.GeneralMahler.tmin

  9. lemma OAI.GeneralMahler.logSigma line 92
  10. lemma OAI.GeneralMahler.ProjField.residual_odd line 123
  11. lemma OAI.GeneralMahler.ProjField.RoH line 147
  12. lemma OAI.GeneralMahler.ProjField.end_cost line 149