OAI/NumberTheory/Ostmann/Construction/SupportedPivotTuples.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.Ostmann.supportedPivotTuples line 11
2. theorem OAI.Ostmann.mem_supportedPivotTuples line 15
3. theorem OAI.Ostmann.scheduledCurrentAmplitude_restrict_cells line 20

   Source documentation

   Zero prior mass permits the exact restriction to the original prime cells.

   theorem scheduledCurrentAmplitude_restrict_cells {I A Z : Type*}
       [Fintype I] [Fintype A] [Fintype Z]
       (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) (hist : A → FrequencyTree ℤ n)
       (P : Finset ℕ) (hP : ∀ p ∈ P, p.Prime) (Q : Fin r → Finset ℕ) (S : Finset (Fin r → P))
       (L : A → CopyScheduleH role n → ℕ) (U : Z → CopyScheduleY role n → ℕ)
       [∀ a h, Fact (L a h).Prime] [∀ z y, Fact (U z y).Prime]
       (center : ∀ p : ℕ, ZMod p) (W : Z → ℕ → A → ℂ) (μ : Z → ℝ) :
       scheduledCurrentAmplitude role χ κ pivot n r e hist P hP Q S L U center W μ =
         scheduledCurrentAmplitude role χ κ pivot n r e hist P hP Q
           (S.filter (fun x => ∀ i, (x i : ℕ) ∈ Q i)) L U center W μ := by
   …

   Mentions: OAI.Ostmann.CopyScheduleRole, OAI.Ostmann.CurrentPivotConstituent, OAI.Ostmann.FrequencyTree, OAI.Ostmann.CopyScheduleH, OAI.Ostmann.CopyScheduleY, OAI.Ostmann.scheduledCurrentAmplitude

4. theorem OAI.Ostmann.constituentPrimeGuardedAmplitude_eq_supported_transfer line 50