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Update Defs.lean
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pitmonticone committed May 13, 2024
1 parent 006846a commit 7c6b9b9
Showing 1 changed file with 3 additions and 1 deletion.
4 changes: 3 additions & 1 deletion Carleson/Defs.lean
Original file line number Diff line number Diff line change
Expand Up @@ -231,10 +231,12 @@ class TileStructure.{u} [Inhabited X] (Θ : outParam (Set C(X, ℂ)))
(D κ C : outParam ℝ) (S : outParam ℤ) (o : outParam X) extends GridStructure X D κ C S o where
protected 𝔓 : Type u
protected 𝓘 : 𝔓 → ι
finite_collection' : Fintype 𝔓
Ω : 𝔓 → Set C(X, ℂ)
measurableSet_Ω : ∀ p, MeasurableSet (Ω p)
Ω_mem : ∀ p, Ω p ⊆ Θ
Q : 𝔓 → C(X, ℂ)
Q_mem : ∀ p, Q p ∈ Θ

union_Ω {i} : ⋃ (p) (_h : 𝓓 (𝓘 p) = 𝓓 i), Ω p = Θ
disjoint_Ω {p p'} (h : p ≠ p') (hp : 𝓓 (𝓘 p) = 𝓓 (𝓘 p')) : Disjoint (Ω p) (Ω p')
relative_fundamental_dyadic {p p'} (h : 𝓓 (𝓘 p) ⊆ 𝓓 (𝓘 p')) : Disjoint (Ω p) (Ω p') ∨ Ω p' ⊆ Ω p
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