OAI/NumberTheory/TwoPoint/Halasz/HalaszFiberEnergy.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Finite energy under refinement of a partition. This is the counting form of the Cauchy--Schwarz step that introduces the congruences on the long variables in the complete-system mean-value argument.

  1. def OAI.TwoPointCorrelations.halaszFiberEnergy line 14
  2. lemma OAI.TwoPointCorrelations.halasz_fiber_energy_rows line 17
  3. lemma OAI.TwoPointCorrelations.halasz_fiber_energy_partition line 32
  4. lemma OAI.TwoPointCorrelations.halasz_card_sq_le_fiber_energy line 61
  5. theorem OAI.TwoPointCorrelations.halasz_fiber_energy_refine line 68
  6. lemma OAI.TwoPointCorrelations.halasz_fiber_energy_congr line 79
  7. lemma OAI.TwoPointCorrelations.halasz_fiber_energy_mono line 90
  8. lemma OAI.TwoPointCorrelations.halasz_fiber_energy_product line 100
  9. lemma OAI.TwoPointCorrelations.halasz_fiber_energy_representation line 126