OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternPriorRanges.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Actual prior support supplies the level and prime-separation hypotheses

  1. theorem OAI.Ostmann.movingPattern_internal_prior_nonzero line 11
  2. theorem OAI.Ostmann.movingPattern_tier_consistent_of_nonzero line 33

    Source documentation

    Incompatible level identifications have zero original weight. This permits retaining all setoids in the exact expansion.

    theorem movingPattern_tier_consistent_of_nonzero {A B C : Type*} [Fintype B] {N n : ℕ}
        (e : Fin (N + 1) ≃ B ⊕ C) (μ : ℕ → A → ℝ) (ν : B → A → ℝ)
        (prime : A → ℕ) (pattern : Bool × MovingSampleIndex n → C)
        (rep : ∀ c, {i : Bool × MovingSampleIndex n // pattern i = c})
        (tier : A → ℕ) (hμ : ∀ j, j < n → ∀ a, μ j a ≠ 0 → tier a = j)
        (G : (Fin (N + 1) → A) → ℂ) (x : Fin (N + 1) → A)
        (hx : movingOriginalPatternWeight e μ ν prime n pattern G x ≠ 0) :
        ∀ i, movingSampleTier (rep (pattern i)).val.2 = movingSampleTier i.2 := by
    …

    Mentions: OAI.Ostmann.MovingSampleIndex, OAI.Ostmann.movingOriginalPatternWeight, OAI.Ostmann.movingSampleTier

  3. theorem OAI.Ostmann.movingPattern_zero_of_inconsistent_tiers line 48
  4. theorem OAI.Ostmann.movingPattern_prior_tiers line 59
  5. theorem OAI.Ostmann.movingPattern_prior_prime_separation line 76