PacketDataPhysicalPropagatedTail.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.PacketLatticeData.eventually_selected_physical_propagated_tail_bound line 16

Source 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 : PacketLatticeData 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.PacketLatticeData, OAI.LipschitzHilbert.planarProfileConstant, OAI.LipschitzHilbert.SlopeBox, OAI.LipschitzHilbert.AngularGrid