Theorems · Theorem · real analysis
BoxIntegral.IntegrationParams.MemBaseSet.distortion_le
∀ {ι : Type u_1} [inst : Fintype ι] {l : BoxIntegral.IntegrationParams} {I : BoxIntegral.Box ι} {c : NNReal}
{r : (ι → ℝ) → ↑(Set.Ioi 0)} {π : BoxIntegral.TaggedPrepartition I},
l.MemBaseSet I c r π → l.bDistortion = true → π.distortion ≤ c- Cited by
- 6 results in Mathlib
- Foundations
- Depth 156 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement and proof · cited by 4,310
- Set.Ioistatement and proof · cited by 1,463
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.IntegrationParamsstatement and proof · cited by 101
- BoxIntegral.IntegrationParams.MemBaseSetstatement and proof · cited by 34
- BoxIntegral.IntegrationParams.bDistortionstatement · cited by 17
- BoxIntegral.TaggedPrepartition.distortionstatement · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- BoxIntegral.HasIntegral.of_bRiemann_eq_false_of_forall_isLittleOproof · cited by 2
- BoxIntegral.IntegrationParams.MemBaseSet.mono'proof · cited by 2
- BoxIntegral.IntegrationParams.MemBaseSet.unionComplToSubordinateproof · cited by 1
- BoxIntegral.IntegrationParams.tendsto_embedBox_toFilteriUnion_topproof · cited by 1
- BoxIntegral.IntegrationParams.biUnionTagged_memBaseSetproof · cited by 1
- BoxIntegral.IntegrationParams.MemBaseSet.filterproof · cited by 1