OAI/NumberTheory/Ostmann/Arithmetic/MovingDirectRecursion.lean
1 declarations, 0 contain sorry, 0 declared as axioms
The original sampled recursion with the explicit giant quotient
- theorem
OAI.Ostmann.movingSampledWeight_direct_nodeline 13Source documentation
The original sample law and the two independent child sample trees are retained. The inserted giant is exactly
(v H⁻ - w H⁺)/(s U), matching the weighted integer off-diagonal, with every root support test still explicit.theorem movingSampledWeight_direct_node {σ : Type*} [Fintype σ] (value : σ → ℕ) (μ : ℕ → σ → ℝ) (childBound pivotBound : ℕ → ℕ) (F : MovingSlotState σ → ℤ → ℂ) (φ : ℝ → ℝ) (G : ℕ → ℝ) (n : ℕ) (t : FrequencyTree ℤ (n + 1)) (small bulk : TreeLeafTuple (List σ) (n + 1)) (XL XR : ℕ) : let E := movingCompensatedExtra value (movingOriginalNode value childBound pivotBound φ G) …Mentions: OAI.Ostmann.MovingSlotState, OAI.Ostmann.FrequencyTree, OAI.Ostmann.TreeLeafTuple, OAI.Ostmann.movingCompensatedExtra, OAI.Ostmann.movingOriginalNode