OAI/Probability/InvariantIsing/Magnetic/MagneticHeightLipschitz.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The prescribed-magnetization functional has the uniform one-half height modulus on a fixed strict partition. This uses the envelope derivative and bounded spin products, independently of concavity.

  1. lemma OAI.InvariantIsing.abs_weighted_unit_sum_le line 17
  2. lemma OAI.InvariantIsing.magneticHeight_gradient_sum line 31
  3. theorem OAI.InvariantIsing.constrainedFieldValue_strict_lipschitz line 50