OAI/Probability/ParisiFinite/CoshCone.lean

GitHub source file

28 declarations, 0 contain sorry, 0 declared as axioms

Cosh Cone.

  1. lemma OAI.ParisiSpectral.multichoose_nonneg line 21
  2. lemma OAI.ParisiSpectral.PositiveDefinite.sum line 36
  3. lemma OAI.ParisiSpectral.hasSum_one_sub_neg_rpow line 46
  4. lemma OAI.ParisiSpectral.PositiveDefinite.one_sub_neg_rpow line 56
  5. structure OAI.ParisiSpectral.CoshCone line 72
  6. lemma OAI.ParisiSpectral.cosh_neg_rpow_positiveDefinite line 77
  7. lemma OAI.ParisiSpectral.CoshCone.pos line 81
  8. lemma OAI.ParisiSpectral.CoshCone.neg_rpow_positiveDefinite line 90
  9. lemma OAI.ParisiSpectral.posSemidef_integral line 125
  10. lemma OAI.ParisiSpectral.posSemidef_cauchy line 146
  11. lemma OAI.ParisiSpectral.fractional_integrand_gram line 170
  12. lemma OAI.ParisiSpectral.posSemidef_fractional_gap line 186
  13. lemma OAI.ParisiSpectral.fractional_cosh_gap_identity line 229
  14. lemma OAI.ParisiSpectral.cosh_fractional_gap_positiveDefinite line 265
  15. lemma OAI.ParisiSpectral.fractional_coeff_identity line 291
  16. lemma OAI.ParisiSpectral.fractional_coeff_nonneg line 309
  17. lemma OAI.ParisiSpectral.hasSum_one_sub_rpow_gap line 314
  18. lemma OAI.ParisiSpectral.coshCone_fractional_defect line 335
  19. lemma OAI.ParisiSpectral.CoshCone.rpow line 375
  20. lemma OAI.ParisiSpectral.integrable_cosh_shift line 403
  21. lemma OAI.ParisiSpectral.heat_cosh line 412
  22. lemma OAI.ParisiSpectral.CoshCone.heat line 429
  23. lemma OAI.ParisiSpectral.CoshCone.limit line 465
  24. lemma OAI.ParisiSpectral.CoshCone.exp_lower line 507
  25. lemma OAI.ParisiSpectral.exp_step_heat line 522
  26. lemma OAI.ParisiSpectral.recursion_coshCone line 536
  27. lemma OAI.ParisiSpectral.field_coshCone line 556
  28. lemma OAI.ParisiSpectral.field_negative_exp_positiveDefinite line 573