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Theorems · Theorem · real analysis

BoxIntegral.Prepartition.IsPartition.biUnion

∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π : BoxIntegral.Prepartition I}
  {πi : (J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J},
  π.IsPartition → (∀ J ∈ π, (πi J).IsPartition) → (π.biUnion πi).IsPartition
Defined in
Mathlib.Analysis.BoxIntegral.Partition.Basic
Cited by
3 results in Mathlib
Foundations
Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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BoxIntegral.Prepartition.isPartition_splitMany · cited by 2Prepartition.isPartition_…BoxIntegral.Prepartition.IsPartition.biUnionTagged · cited by 1IsPartition.biUnionTaggedBoxIntegral.TaggedPrepartition.IsPartition.biUnionPrepartition · cited by 0IsPartition.biUnionPrepar…Real · cited by 25697RealBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.Prepartition.IsPartition · cited by 30Prepartition.IsPartitionBoxIntegral.Prepartition.biUnion · cited by 24Prepartition.biUnionBoxIntegral.Prepartition.mem_biUnion · cited by 9Prepartition.mem_biUnionIsPartition.biUnionCITED BYCITES

Cites6

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Cited by3

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