OAI/NumberTheory/Ostmann/Construction/ScheduledSamplePhase.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The actual scheduled phase on a finite prime sample
- theorem
OAI.Ostmann.scheduledPrimePhase_congr_labelsline 12 - def
OAI.Ostmann.scheduledSamplePhaseline 23 - theorem
OAI.Ostmann.scheduledSamplePhase_partitionline 34Source documentation
Finite Fubini and the arithmetic transfer evaluate literally the same scheduled phase after the pivot/H/Y reindexing.
theorem scheduledSamplePhase_partition {I : Type*} [Fintype I] (role : I → CopyScheduleRole) (χ : I → ∀ p : ℕ, DirichletCharacter ℂ p) (κ : I → ℕ → ℂ) (pivot : ℕ → I) (n r : ℕ) (e : Fin r ≃ CurrentPivotConstituent role n) (t : FrequencyTree ℤ n) (P : Finset ℕ) (hP : ∀ p ∈ P, p.Prime) (u : CopyScheduleY role n → P) (x : Fin r → P) (l : CopyScheduleH role n → P) (center : ∀ p : ℕ, ZMod p) : letI : ∀ h, Fact (l h : ℕ).Prime := fun h => ⟨hP _ (l h).property⟩ …Mentions: OAI.Ostmann.CopyScheduleRole, OAI.Ostmann.CurrentPivotConstituent, OAI.Ostmann.FrequencyTree, OAI.Ostmann.CopyScheduleY, OAI.Ostmann.CopyScheduleH