OAI/NumberTheory/Ostmann/Arithmetic/FrozenFrequencySupport.lean
2 declarations, 0 contain sorry, 0 declared as axioms
The full frequency factor retains precisely the fixed nonbulk support
- theorem
OAI.Ostmann.movingFrequencyPageAverage_nonbulkline 11 - theorem
OAI.Ostmann.movingFrequencyPageAverage_actual_nonbulkline 42Source documentation
For the literal formula-node list, the remaining frequency-size tests depend on the frequency tree alone.
theorem movingFrequencyPageAverage_actual_nonbulk {σ : Type*} (value base : σ → ℕ) (bulk : σ → Bool) (outside : List ℕ) (hv : ∀ i, bulk i = false → value i = base i) (hvalue : ∀ i, value i ≠ 0) (childBound pivotBound : ℕ → ℕ) (F : Bool → {n : ℕ} → MovingSlotData σ n → ℤ → ℂ) (E : Bool → {n : ℕ} → MovingSlotData σ n → ℤ → ℤ → ℤ → ℝ) {n : ℕ} (T : Bool → MovingSlotData σ n) (hf : ∀ b, (T b).Frequencies (· ≠ 0)) (hprime : ∀ b, ∀ L ∈ (T b).regularLists, ∀ i ∈ L, (value i).Prime) (hnodup : ∀ b, ∀ L ∈ (T b).regularLists, (L.filter bulk).Nodup) (hinj : ∀ i j, bulk i = true → bulk j = true → value i = value j → i = j) (hcross : ∀ b, ∀ L ∈ (T b).regularLists, ∀ i ∈ L, ∀ j ∈ L, bulk i ≠ bulk j → value i ≠ value j) …Mentions: OAI.Ostmann.MovingSlotData