Theorems · Definition · real analysis
BoxIntegral.TaggedPrepartition.distortion
{ι : Type u_1} → {I : BoxIntegral.Box ι} → BoxIntegral.TaggedPrepartition I → [Fintype ι] → NNRealThe distortion of a tagged prepartition is the maximum of distortions of its boxes.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- NNRealstatement · cited by 4,310
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.TaggedPrepartition.toPrepartitionproof · cited by 51
- BoxIntegral.Prepartition.distortionproof · cited by 23
Cited by17
Results whose statement or proof uses this declaration.
- BoxIntegral.IntegrationParams.MemBaseSet.distortion_lestatement · cited by 6
- BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eqstatement and proof · cited by 6
- BoxIntegral.IntegrationParams.exists_memBaseSet_le_iUnion_eqproof · cited by 2
- BoxIntegral.Prepartition.distortion_biUnionTaggedstatement · cited by 2
- BoxIntegral.Box.exists_taggedPartition_isHenstock_isSubordinate_homotheticstatement and proof · cited by 1
- BoxIntegral.Prepartition.distortion_toSubordinatestatement · cited by 1
- BoxIntegral.IntegrationParams.MemBaseSet.filterproof · cited by 1
- BoxIntegral.TaggedPrepartition.distortion_disjUnionstatement · cited by 1
- BoxIntegral.TaggedPrepartition.distortion_filter_lestatement · cited by 1
- BoxIntegral.TaggedPrepartition.distortion_of_conststatement · cited by 1
- BoxIntegral.TaggedPrepartition.distortion_singlestatement · cited by 1
- BoxIntegral.TaggedPrepartition.distortion_unionComplToSubordinatestatement and proof · cited by 1