OAI/Probability/InvariantIsing/Magnetic/MagneticFieldLowerBound.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Linear bias coercivity for the finite magnetic field functional. The lower estimate is preserved by the actual Gaussian recursion.

  1. lemma OAI.InvariantIsing.affine_le_gaussianOperator line 15
  2. lemma OAI.InvariantIsing.affine_le_fieldScalarValue line 37
  3. lemma OAI.InvariantIsing.signed_bias_le_logcosh line 50
  4. lemma OAI.InvariantIsing.fieldValue_bias_lower line 59