OAI/Probability/InvariantIsing/Magnetic/MagneticHeatSecond.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Joint variance/spatial differentiation of the second spatial derivative. Fourth terminal derivatives suffice; no unproved interchange of differentiation and Gaussian integration is used.

  1. def OAI.InvariantIsing.magneticHeatSecond line 16
  2. lemma OAI.InvariantIsing.magneticHeatSecond_eq line 23
  3. theorem OAI.InvariantIsing.magneticHeatSecond_hasFDerivAt line 31