Theorems · Theorem · real analysis
BoxIntegral.IntegrationParams.MemBaseSet.filter
∀ {ι : Type u_1} [inst : Fintype ι] {I : BoxIntegral.Box ι} {c : NNReal} {l : BoxIntegral.IntegrationParams}
{π : BoxIntegral.TaggedPrepartition I} {r : (ι → ℝ) → ↑(Set.Ioi 0)},
l.MemBaseSet I c r π → ∀ (p : BoxIntegral.Box ι → Prop), l.MemBaseSet I c r (π.filter p)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement and proof · cited by 4,310
- LE.le.transproof · cited by 3,151
- Set.extproof · cited by 2,266
- Disjointproof · cited by 2,201
- Set.Ioistatement and proof · cited by 1,463
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionproof · cited by 199
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.Box.toSetproof · cited by 121
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.IntegrableOn.hasBoxIntegralproof · cited by 2