Theorems · Definition · real analysis
BoxIntegral.Prepartition.iUnion
{ι : Type u_1} → {I : BoxIntegral.Box ι} → BoxIntegral.Prepartition I → Set (ι → ℝ)Given a prepartition π : BoxIntegral.Prepartition I, π.iUnion is the part of I covered by
the boxes of π.
- Cited by
- 71 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.iUnionproof · cited by 2,483
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Box.toSetproof · cited by 121
Cited by77
Results whose statement or proof uses this declaration.
- BoxIntegral.TaggedPrepartition.iUnionproof · cited by 51
- BoxIntegral.Prepartition.IsPartition.iUnion_eqstatement · cited by 9
- BoxIntegral.Prepartition.disjUnionstatement and proof · cited by 7
- BoxIntegral.TaggedPrepartition.unionComplToSubordinatestatement and proof · cited by 7
- BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eqstatement · cited by 6
- BoxIntegral.Prepartition.isPartition_iff_iUnion_eqstatement and proof · cited by 6
- BoxIntegral.Prepartition.iUnion_complstatement · cited by 5
- BoxIntegral.Prepartition.iUnion_biUnionstatement · cited by 4
- BoxIntegral.Prepartition.iUnion_subsetstatement · cited by 4
- BoxIntegral.Prepartition.iUnion_topstatement · cited by 4
- BoxIntegral.IntegrationParams.toFilterDistortioniUnionproof · cited by 4
- BoxIntegral.IntegrationParams.MemBaseSet.exists_complstatement · cited by 3