Theorems · Definition · real analysis
BoxIntegral.Prepartition.distortion
{ι : Type u_1} → {I : BoxIntegral.Box ι} → BoxIntegral.Prepartition I → [Fintype ι] → NNRealThe distortion of a prepartition is the maximum of the distortions of the boxes of this prepartition.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 154 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.
Cites7
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
- Finset.supproof · cited by 530
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Prepartition.boxesproof · cited by 77
- BoxIntegral.Box.distortionproof · cited by 21
Cited by26
Results whose statement or proof uses this declaration.
- BoxIntegral.TaggedPrepartition.distortionproof · cited by 15
- BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eqstatement and proof · cited by 6
- BoxIntegral.IntegrationParams.MemBaseSet.exists_complstatement · cited by 3
- BoxIntegral.IntegrationParams.exists_memBaseSet_le_iUnion_eqstatement and proof · cited by 2
- BoxIntegral.Prepartition.distortion_botstatement · cited by 2
- BoxIntegral.IntegrationParams.MemBaseSet.mono'proof · cited by 2
- BoxIntegral.Integrable.dist_integralSum_le_of_memBaseSetproof · cited by 2
- BoxIntegral.IntegrationParams.biUnionTagged_memBaseSetstatement and proof · cited by 1
- BoxIntegral.IntegrationParams.exists_memBaseSet_isPartitionproof · cited by 1
- BoxIntegral.Prepartition.distortion_disjUnionstatement · cited by 1
- BoxIntegral.IntegrationParams.MemBaseSet.exists_common_complstatement and proof · cited by 1