OAI/Probability/InvariantIsing/Cavity/CavityGaussianCurveMean.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Differentiating the finite Gaussian interpolation while removing the nonuniform cavity penalty. The derivative is nonnegative under the pointwise covariance-error bound.

  1. def OAI.InvariantIsing.cavityGaussianCurveMean line 17
  2. def OAI.InvariantIsing.cavityGaussianCurveSlope line 23
  3. lemma OAI.InvariantIsing.cavityPenaltyCurve_derivative_bound line 30
  4. lemma OAI.InvariantIsing.cavityGaussianCurveMean_hasDerivAt line 42
  5. theorem OAI.InvariantIsing.cavity_finite_gaussian_penalty_comparison line 92