OAI/NumberTheory/Ostmann/Arithmetic/MovingOccurrenceRelabel.lean
7 declarations, 0 contain sorry, 0 declared as axioms
Actual internal-prime line systems commute with slot relabelling
- def
OAI.Ostmann.MovingSlotOccurrence.mapline 11 - theorem
OAI.Ostmann.MovingSlotOccurrence.map_extendline 15 - theorem
OAI.Ostmann.MovingSlotData.occurrences_mapline 20 - theorem
OAI.Ostmann.movingPrimeLineSystem_iffline 32Source 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
- theorem
OAI.Ostmann.movingSlotLine_natural_mapline 53 - theorem
OAI.Ostmann.movingPrimeLineSystem_mapline 67 - theorem
OAI.Ostmann.movingInternalBaseProbability_mapline 95