OAI/Probability/FreeIsing/Gaussian/VarianceLower.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.Problem367.GaussianVarianceLower.tanh_strictMono line 11
  2. lemma OAI.Problem367.GaussianVarianceLower.tanh_abs line 17
  3. def OAI.Problem367.GaussianVarianceLower.varianceLower line 26
  4. lemma OAI.Problem367.GaussianVarianceLower.varianceLower_pos line 29
  5. lemma OAI.Problem367.GaussianVarianceLower.squared_variance_le_one line 33
  6. lemma OAI.Problem367.GaussianVarianceLower.squared_variance_lower_on_abs_le line 38
  7. lemma OAI.Problem367.GaussianVarianceLower.integrable_squared_variance line 49
  8. theorem OAI.Problem367.GaussianVarianceLower.varianceLower_le_integral line 59
  9. theorem OAI.Problem367.GaussianVarianceLower.varianceLower_mul_integral_le line 111
  10. theorem OAI.Problem367.GaussianVarianceLower.varianceLower_mul_integral_le_of_indepFun line 146
  11. theorem OAI.Problem367.GaussianVarianceLower.integrable_weight_of_integrable_weighted_variance line 174
  12. theorem OAI.Problem367.GaussianVarianceLower.integral_weight_le_of_integrable_weighted_variance line 197