Mathlib Map

Theorems · Definition · real analysis

BoxIntegral.Prepartition.biUnionTagged

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

Given a partition π of I : BoxIntegral.Box ι and a collection of tagged partitions πi J of all boxes J ∈ π, returns the tagged partition of I into all the boxes of πi J with tags coming from (πi J).tag.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Tagged
Cited by
13 results in Mathlib
Foundations
Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eq · cited by 6Prepartition.exists_tagge…BoxIntegral.TaggedPrepartition.isHenstock_biUnionTagged · cited by 3TaggedPrepartition.isHens…BoxIntegral.TaggedPrepartition.isSubordinate_biUnionTagged · cited by 3TaggedPrepartition.isSubo…BoxIntegral.Prepartition.tag_biUnionTagged · cited by 2Prepartition.tag_biUnionT…BoxIntegral.Prepartition.forall_biUnionTagged · cited by 2Prepartition.forall_biUni…BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq · cited by 2Integrable.dist_integralS…BoxIntegral.Prepartition.distortion_biUnionTagged · cited by 2Prepartition.distortion_b…BoxIntegral.Prepartition.IsPartition.biUnionTagged · cited by 1IsPartition.biUnionTaggedBoxIntegral.integralSum_biUnionTagged · cited by 1BoxIntegral.integralSum_b…BoxIntegral.Prepartition.mem_biUnionTagged · cited by 1Prepartition.mem_biUnionT…BoxIntegral.IntegrationParams.biUnionTagged_memBaseSet · cited by 1IntegrationParams.biUnion…BoxIntegral.Box.exists_taggedPartition_isHenstock_isSubordinate_homothetic · cited by 1Box.exists_taggedPartitio…BoxIntegral.Prepartition.iUnion_biUnionTagged · cited by 0Prepartition.iUnion_biUni…BoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.TaggedPrepartition · cited by 126BoxIntegral.TaggedPrepart…BoxIntegral.TaggedPrepartition.toPrepartition · cited by 51TaggedPrepartition.toPrep…BoxIntegral.TaggedPrepartition.tag · cited by 34TaggedPrepartition.tagBoxIntegral.Prepartition.biUnion · cited by 24Prepartition.biUnionBoxIntegral.Prepartition.biUnionIndex · cited by 8Prepartition.biUnionIndexPrepartition.biUnionTaggedCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.