Theorems · Theorem · real analysis
BoxIntegral.TaggedPrepartition.distortion_unionComplToSubordinate
∀ {ι : Type u_1} [inst : Fintype ι] {I : BoxIntegral.Box ι} (π₁ : BoxIntegral.TaggedPrepartition I)
(π₂ : BoxIntegral.Prepartition I) (hU : π₂.iUnion = ↑I \ π₁.iUnion) (r : (ι → ℝ) → ↑(Set.Ioi 0)),
(π₁.unionComplToSubordinate π₂ hU r).distortion = max π₁.distortion π₂.distortion- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement · cited by 4,310
- Set.Ioistatement and proof · cited by 1,463
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- BoxIntegral.Prepartition.iUnionstatement and proof · cited by 71
- BoxIntegral.TaggedPrepartition.iUnionstatement and proof · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.IntegrationParams.MemBaseSet.unionComplToSubordinateproof · cited by 1