OAI/Probability/InvariantIsing/Magnetic/MagneticSlabBoundary.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

The actual slab inverse curvature extends continuously to both spin endpoints. The uniform bound by 1-s² gives joint boundary continuity in the variance parameter without an asymptotic expansion.

  1. lemma OAI.InvariantIsing.magneticScalarInverseCurvature_pos line 16
  2. lemma OAI.InvariantIsing.magneticScalarInverseCurvature_le_spin_variance line 22
  3. lemma OAI.InvariantIsing.magneticScalarInverseCurvature_continuousAt line 40
  4. def OAI.InvariantIsing.closedMagneticScalarCurvature line 51
  5. lemma OAI.InvariantIsing.closedMagneticScalarCurvature_nonneg line 55
  6. lemma OAI.InvariantIsing.closedMagneticScalarCurvature_le_spin_variance line 63
  7. lemma OAI.InvariantIsing.continuousOn_closedMagneticScalarCurvature line 74