Theorems · Theorem · real analysis
BoxIntegral.Prepartition.eventually_splitMany_inf_eq_filter
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} [Finite ι] (π : BoxIntegral.Prepartition I),
∀ᶠ (t : Finset (ι × ℝ)) in Filter.atTop,
π ⊓ BoxIntegral.Prepartition.splitMany I t = (BoxIntegral.Prepartition.splitMany I t).filter fun J => ↑J ⊆ π.iUnion- Cited by
- 3 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Finsetstatement and proof · cited by 13,712
- Bot.botproof · cited by 4,720
- Filter.Eventuallystatement · cited by 3,134
- Finitestatement and proof · cited by 3,029
- Filter.atTopstatement · cited by 2,405
- Disjointproof · cited by 2,201
- le_antisymmproof · cited by 2,068
- le_rflproof · cited by 1,558
- WithBotproof · cited by 1,498
- Filter.Eventually.monoproof · cited by 646
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.exists_iUnion_eq_sdiffproof · cited by 3
- BoxIntegral.Prepartition.exists_splitMany_inf_eq_filter_of_finiteproof · cited by 1
- BoxIntegral.Prepartition.IsPartition.exists_splitMany_leproof · cited by 0