OAI/Probability/InvariantIsing/Cavity/CavityScalarResolventBound.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Uniform scalar resolvent bounds, including the extension at zero. The comparison uses any alphabet point above the compressed eigenvalue.

  1. def OAI.InvariantIsing.cavityScalarResolvent line 17
  2. lemma OAI.InvariantIsing.cavityScalarResolvent_denominator_pos line 21
  3. lemma OAI.InvariantIsing.cavityScalarResolvent_pos_eq line 36
  4. lemma OAI.InvariantIsing.continuousOn_cavityScalarResolvent line 49
  5. lemma OAI.InvariantIsing.hasDerivAt_cavityScalarResolvent line 58
  6. lemma OAI.InvariantIsing.cavityScalarResolvent_derivative_bound line 75
  7. theorem OAI.InvariantIsing.cavityScalarResolvent_lipschitz line 100