OAI/NumberTheory/Ostmann/Arithmetic/MovingOccurrenceRelabel.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Actual internal-prime line systems commute with slot relabelling

  1. def OAI.Ostmann.MovingSlotOccurrence.map line 11
  2. theorem OAI.Ostmann.MovingSlotOccurrence.map_extend line 15
  3. theorem OAI.Ostmann.MovingSlotData.occurrences_map line 20
  4. theorem OAI.Ostmann.movingPrimeLineSystem_iff line 32

    Source documentation

    The finite index of occurrences is only bookkeeping: the event itself is exactly the conjunction over the original compensation slots.

    theorem movingPrimeLineSystem_iff {σ : Type*} {n : ℕ}
        (value : σ → ℕ) (T : Bool → MovingSlotData σ n) (p : ℕ) (x y : ZMod p) :
        (∀ j : MovingPrimeOccurrences value T p,
          let L := movingPrimeOccurrenceLine value T p j
    …

    Mentions: OAI.Ostmann.MovingSlotData, OAI.Ostmann.MovingPrimeOccurrences, OAI.Ostmann.movingPrimeOccurrenceLine

  5. theorem OAI.Ostmann.movingSlotLine_natural_map line 53
  6. theorem OAI.Ostmann.movingPrimeLineSystem_map line 67
  7. theorem OAI.Ostmann.movingInternalBaseProbability_map line 95