Theorems · Theorem · real analysis
BoxIntegral.IntegrationParams.hasBasis_toFilterDistortioniUnion
∀ {ι : Type u_1} [inst : Fintype ι] (l : BoxIntegral.IntegrationParams) (I : BoxIntegral.Box ι) (c : NNReal)
(π₀ : BoxIntegral.Prepartition I),
(l.toFilterDistortioniUnion I c π₀).HasBasis l.RCond fun r => {π | l.MemBaseSet I c r π ∧ π.iUnion = π₀.iUnion}- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- NNRealstatement and proof · cited by 4,310
- Set.Ioistatement · cited by 1,463
- Filter.HasBasisstatement · cited by 604
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.IntegrationParamsstatement and proof · cited by 101
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.IntegrationParams.hasBasis_toFilteriUnionproof · cited by 2
- BoxIntegral.IntegrationParams.tendsto_embedBox_toFilteriUnion_topproof · cited by 1