OAI/Analysis/IrrationalRotation/Couplings/ProductDensity.lean

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18 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Invariant233.ProductDensity.integral_sq_eq_one_add_centered_sq line 13
  2. theorem OAI.Invariant233.ProductDensity.integral_finite_product_eq_one line 22
  3. theorem OAI.Invariant233.ProductDensity.integral_finite_product_sq line 31
  4. theorem OAI.Invariant233.ProductDensity.integral_finite_product_sq_le_exp line 48
  5. theorem OAI.Invariant233.ProductDensity.memLp_finite_product line 59
  6. theorem OAI.Invariant233.ProductDensity.integral_finite_product_sq_le_exp_of_sum_le line 71
  7. theorem OAI.Invariant233.ProductDensity.eLpNorm_finite_product_le_exp_half line 81
  8. theorem OAI.Invariant233.ProductDensity.eLpNorm_finite_hybrid_le_exp_half line 103
  9. theorem OAI.Invariant233.ProductDensity.measurePreserving_restrict_infinitePi line 118
  10. theorem OAI.Invariant233.ProductDensity.partial_product_eq_restrict line 125
  11. theorem OAI.Invariant233.ProductDensity.memLp_partial_product line 132
  12. theorem OAI.Invariant233.ProductDensity.eLpNorm_partial_product_le_exp_half line 142
  13. theorem OAI.Invariant233.ProductDensity.eLpNorm_partial_product_le_exp_half_of_tsum_le line 160
  14. theorem OAI.Invariant233.ProductDensity.integral_partial_product line 173
  15. theorem OAI.Invariant233.ProductDensity.partial_product_mul_of_subset line 189
  16. theorem OAI.Invariant233.ProductDensity.integral_partial_product_mul_of_subset line 202
  17. theorem OAI.Invariant233.ProductDensity.indicator_partial_product line 236
  18. theorem OAI.Invariant233.ProductDensity.setIntegral_partial_product_pi line 263