OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternPriorRanges.lean
5 declarations, 0 contain sorry, 0 declared as axioms
Actual prior support supplies the level and prime-separation hypotheses
- theorem
OAI.Ostmann.movingPattern_internal_prior_nonzeroline 11 - theorem
OAI.Ostmann.movingPattern_tier_consistent_of_nonzeroline 33Source 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
- theorem
OAI.Ostmann.movingPattern_zero_of_inconsistent_tiersline 48 - theorem
OAI.Ostmann.movingPattern_prior_tiersline 59 - theorem
OAI.Ostmann.movingPattern_prior_prime_separationline 76