Theorems · Definition · real analysis
BoxIntegral.TaggedPrepartition.IsSubordinate
{ι : Type u_1} →
{I : BoxIntegral.Box ι} → [Fintype ι] → BoxIntegral.TaggedPrepartition I → ((ι → ℝ) → ↑(Set.Ioi 0)) → PropA tagged partition π is subordinate to r : (ι → ℝ) → ℝ if each box J ∈ π is included in
the closed ball with center π.tag J and radius r (π.tag J).
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 153 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- Set.Ioistatement and proof · cited by 1,463
- Metric.closedBallproof · cited by 704
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.Box.Iccproof · cited by 76
- BoxIntegral.TaggedPrepartition.tagproof · cited by 34
Cited by17
Results whose statement or proof uses this declaration.
- BoxIntegral.IntegrationParams.MemBaseSet.isSubordinatestatement · cited by 9
- BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eqstatement and proof · cited by 6
- BoxIntegral.TaggedPrepartition.isSubordinate_biUnionTaggedstatement · cited by 3
- BoxIntegral.TaggedPrepartition.IsSubordinate.mono'statement and proof · cited by 2
- BoxIntegral.IntegrationParams.exists_memBaseSet_le_iUnion_eqproof · cited by 2
- BoxIntegral.unitPartition.prepartition_isSubordinatestatement · cited by 1
- tendsto_tsum_div_pow_atTop_integralproof · cited by 1
- BoxIntegral.TaggedPrepartition.isSubordinate_singlestatement · cited by 1
- BoxIntegral.TaggedPrepartition.IsSubordinate.biUnionPrepartitionstatement and proof · cited by 1
- BoxIntegral.TaggedPrepartition.IsSubordinate.disjUnionstatement and proof · cited by 1
- BoxIntegral.TaggedPrepartition.IsSubordinate.infPrepartitionstatement and proof · cited by 1
- BoxIntegral.TaggedPrepartition.IsSubordinate.monostatement and proof · cited by 1