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Theorems · Definition · real analysis

BoxIntegral.TaggedPrepartition.infPrepartition

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

Given two partitions π₁ and π₁, one of them tagged and the other is not, returns the tagged partition with toPrepartition = π₁.toPrepartition ⊓ π₂ and tags coming from π₁. Note that usually the result is not a Henstock partition.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Tagged
Cited by
7 results in Mathlib
Foundations
Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

BoxIntegral.integrable_of_bounded_and_ae_continuousWithinAt · cited by 2BoxIntegral.integrable_of…BoxIntegral.TaggedPrepartition.IsSubordinate.infPrepartition · cited by 1IsSubordinate.infPreparti…BoxIntegral.TaggedPrepartition.mem_infPrepartition_comm · cited by 1TaggedPrepartition.mem_in…BoxIntegral.integralSum_inf_partition · cited by 1BoxIntegral.integralSum_i…BoxIntegral.integralSum_sub_partitions · cited by 1BoxIntegral.integralSum_s…BoxIntegral.TaggedPrepartition.infPrepartition_toPrepartition · cited by 0TaggedPrepartition.infPre…BoxIntegral.TaggedPrepartition.IsPartition.infPrepartition · cited by 0IsPartition.infPrepartiti…BoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.TaggedPrepartition · cited by 126BoxIntegral.TaggedPrepart…BoxIntegral.Prepartition.restrict · cited by 16Prepartition.restrictBoxIntegral.TaggedPrepartition.biUnionPrepartition · cited by 5TaggedPrepartition.biUnio…TaggedPrepartition.infPrepart…CITED BYCITES

Cites5

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Cited by7

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