OAI/NumberTheory/Ostmann/Arithmetic/BulkSlotPolynomials.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Polynomial dependence on one original bulk-prime slot

  1. def OAI.Ostmann.MovingSlotData.CompensationAbsent line 12

    Source documentation

    A bulk coordinate never occurs in any compensation denominator.

    def MovingSlotData.CompensationAbsent {σ : Type*} (i : σ) :
        {n : ℕ} → MovingSlotData σ n → Prop
      | _, .leaf _ _ => True
      | _, .node _ _ _ u left right =>
          i ∉ u ∧ left.CompensationAbsent i ∧ right.CompensationAbsent i

    Mentions: OAI.Ostmann.MovingSlotData

  2. theorem OAI.Ostmann.MovingSlotData.compensationAbsent_of_levels line 18
  3. def OAI.Ostmann.bulkSlotProduct line 29
  4. theorem OAI.Ostmann.bulkSlotProduct_eval line 33
  5. theorem OAI.Ostmann.bulkSlotProduct_degree line 51
  6. theorem OAI.Ostmann.realSlotProduct_update_of_absent line 62
  7. def OAI.Ostmann.MovingSlotReversal.bulkPivotPolynomial line 75
  8. theorem OAI.Ostmann.MovingSlotReversal.bulkPivotPolynomial_eval line 83
  9. theorem OAI.Ostmann.MovingSlotReversal.bulkPivotPolynomial_degree line 92