OAI/Probability/InvariantIsing/Magnetic/MagneticFieldBounds.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The exact canonical bias bounds (mag:bias-bounds) on every finite field partition, including tied heights and a degenerate root increment.

  1. lemma OAI.InvariantIsing.convexOn_logcosh line 15
  2. lemma OAI.InvariantIsing.logcosh_le_gaussianOperator line 29
  3. lemma OAI.InvariantIsing.logcosh_le_fieldScalarValue line 51
  4. lemma OAI.InvariantIsing.fieldValue_ge_logcosh_sub_height line 62
  5. lemma OAI.InvariantIsing.fieldValue_le_logcosh line 75
  6. lemma OAI.InvariantIsing.fieldValue_canonical_bias_bounds line 93