OAI/MathematicalPhysics/PEPSFilters/Interpolation.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Three-lines interpolation and entropy tangent bounds for ordered operators.

  1. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.tangent_le line 16
  2. theorem OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.threeLines_tangent line 29
  3. theorem OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.threeLines_entropy_tangent line 61
  4. def OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain line 83
  5. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_zero line 86
  6. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_succ line 89
  7. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_differentiable line 93
  8. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_norm_le line 102
  9. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_fix line 111
  10. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_inner_deriv line 117
  11. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.complex_deriv_real_norm_sq line 140
  12. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_entropy_tangent line 158
  13. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.threeLines_right_pos line 193
  14. lemma OAI.PolynomialPEPS.PinnedEntropy.NestedFilter.Analytic.chain_entropy_tangent_nonneg line 223