OAI/Analysis/LipschitzHilbert/Trees/SourcePhysicalPropagatedTail.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Propagated residuals for the original masked physical packets use exactly the fixed-subset prefix controlled by the reference event.
- theorem
OAI.LipschitzHilbert.SourceLabeledLattice.eventually_selected_physical_propagated_tail_boundline 16Source documentation
The path's propagated unary residuals are controlled by the original physical prefix of its one deterministic residual subset.
theorem eventually_selected_physical_propagated_tail_bound (Cmass : ℝ) (hCmass : 0 ≤ Cmass) : ∀ᶠ L : ℝ in atTop, ∀ (N : ℕ) (κ : Type) (Label : Fin N → Type) (Item : ∀ j, Label j → Type) [Fintype κ] [∀ j l, Fintype (Item j l)] (P : SourceLabeledLattice N κ Label Item) (alt : ∀ j (l : P.labels j), Item j l → κ → SchwartzMap (ℝ×ℝ) ℂ) (hAlt : ∀ j l u k, planarProfileConstant (alt j l u k) (2*P.order) ≤ P.profileBound) (t : ℝ) (b : ∀ j, P.labels j → κ → ℝ → ℂ) (v : ℝ×ℝ → ℝ) (test : ℝ×ℝ → EuclideanSpace ℂ κ) (T : ∀ j (l : P.labels j), Item j l → SlopeBox) (A : ℝ) (τ : Type*) (grid : AngularGrid) (tops : Finset τ) …Mentions: OAI.LipschitzHilbert.SourceLabeledLattice, OAI.LipschitzHilbert.planarProfileConstant, OAI.LipschitzHilbert.SlopeBox, OAI.LipschitzHilbert.AngularGrid