OAI/Probability/InvariantIsing/Magnetic/MagneticHeightOrder.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

A literal increase of an interior height decreases each earlier conditional square mean at fixed prescribed magnetization.

  1. lemma OAI.InvariantIsing.nonneg_toNNReal_add line 17
  2. lemma OAI.InvariantIsing.closedSquare_congr line 23
  3. lemma OAI.InvariantIsing.magneticFieldLevel_eq_closed line 34
  4. theorem OAI.InvariantIsing.magneticFieldLevel_interior_update_le line 42
  5. theorem OAI.InvariantIsing.magneticFieldLevel_terminal_update_le line 127