OAI/Probability/InvariantIsing/Fields/FieldHeightRadialHessian.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The radial row sign of the actual finite-height Hessian. The proof transports the already proved covariance-scaling order of magnetization, using the literal gradient identity on a neighborhood of a strict field.

  1. lemma OAI.InvariantIsing.fieldMagnetizationLevel_congr line 16
  2. lemma OAI.InvariantIsing.fieldStrictHeightCone_smul line 24
  3. theorem OAI.InvariantIsing.fieldHeight_radial_hessian_nonpos line 34