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Theorems · Definition · real analysis

BoxIntegral.Prepartition.biUnionIndex

{ι : Type u_1} →
  {I : BoxIntegral.Box ι} →
    BoxIntegral.Prepartition I →
      ((J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J) → BoxIntegral.Box ι → BoxIntegral.Box ι

Given a box J ∈ π.biUnion πi, returns the box J' ∈ π such that J ∈ πi J'. For J ∉ π.biUnion πi, returns I.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Basic
Cited by
8 results in Mathlib
Foundations
Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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BoxIntegral.Prepartition.biUnionTagged · cited by 13Prepartition.biUnionTaggedBoxIntegral.TaggedPrepartition.biUnionPrepartition · cited by 5TaggedPrepartition.biUnio…BoxIntegral.Prepartition.biUnionIndex_mem · cited by 3Prepartition.biUnionIndex…BoxIntegral.Prepartition.biUnionIndex_of_mem · cited by 3Prepartition.biUnionIndex…BoxIntegral.Prepartition.le_biUnionIndex · cited by 2Prepartition.le_biUnionIn…BoxIntegral.Prepartition.biUnion_assoc · cited by 1Prepartition.biUnion_assocBoxIntegral.Prepartition.mem_biUnionIndex · cited by 1Prepartition.mem_biUnionI…BoxIntegral.TaggedPrepartition.IsSubordinate.biUnionPrepartition · cited by 1IsSubordinate.biUnionPrep…BoxIntegral.TaggedPrepartition.biUnionPrepartition_tag · cited by 0TaggedPrepartition.biUnio…BoxIntegral.Prepartition.biUnionIndex_le · cited by 0Prepartition.biUnionIndex…BoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.Prepartition.biUnion · cited by 24Prepartition.biUnionPrepartition.biUnionIndexCITED BYCITES

Cites3

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Cited by10

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