OAI/Probability/InvariantIsing/Fields/FieldGaussianContinuity.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Continuity of the scalar Gaussian step at zero variance. The payoff has a uniform linear envelope; the physical-spin observable is bounded. This is the dominated-convergence input for closed height cones.

  1. lemma OAI.InvariantIsing.field_shift_linear_envelope line 16
  2. lemma OAI.InvariantIsing.continuous_field_gaussian_integral line 41
  3. lemma OAI.InvariantIsing.continuous_field_gaussian_weighted line 64
  4. lemma OAI.InvariantIsing.continuous_field_gaussian_transform line 106
  5. lemma OAI.InvariantIsing.continuous_field_gaussian_tilt_average line 132