Mathlib Map

Theorems · Theorem · real analysis

BoxIntegral.Prepartition.distortion_biUnionTagged

∀ {ι : Type u_1} {I : BoxIntegral.Box ι} [inst : Fintype ι] (π : BoxIntegral.Prepartition I)
  (πi : (J : BoxIntegral.Box ι) → BoxIntegral.TaggedPrepartition J),
  (π.biUnionTagged πi).distortion = π.boxes.sup fun J => (πi J).distortion
Defined in
Mathlib.Analysis.BoxIntegral.Partition.Tagged
Cited by
2 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fintype
Mathlib docsSourceLoogleLeanSearch

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.IntegrationParams.biUnionTagged_memBaseSet · cited by 1IntegrationParams.biUnion…Fintype · cited by 7736FintypeNNReal · cited by 4310NNRealFinset.sup · cited by 530Finset.supBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.TaggedPrepartition · cited by 126BoxIntegral.TaggedPrepart…BoxIntegral.Prepartition.boxes · cited by 77Prepartition.boxesBoxIntegral.TaggedPrepartition.toPrepartition · cited by 51TaggedPrepartition.toPrep…BoxIntegral.TaggedPrepartition.distortion · cited by 15TaggedPrepartition.distor…BoxIntegral.Prepartition.biUnionTagged · cited by 13Prepartition.biUnionTaggedFinset.sup_biUnion · cited by 8Finset.sup_biUnionPrepartition.distortion_biUni…CITED BYCITES

Cites11

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

Cited by2

Results whose statement or proof uses this declaration.