Theorems · Theorem · real analysis
BoxIntegral.IntegrationParams.hasBasis_toFilter
∀ {ι : Type u_1} [inst : Fintype ι] (l : BoxIntegral.IntegrationParams) (I : BoxIntegral.Box ι),
(l.toFilter I).HasBasis (fun r => ∀ (c : NNReal), l.RCond (r c)) fun r => {π | ∃ c, l.MemBaseSet I c (r c) π}- Cited by
- 1 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.
Cites16
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
- Set.ofPredstatement · cited by 6,101
- NNRealstatement and proof · cited by 4,310
- Set.Ioistatement and proof · cited by 1,463
- Filter.HasBasisstatement and proof · cited by 604
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.TaggedPrepartitionstatement · cited by 126
- BoxIntegral.IntegrationParamsstatement and proof · cited by 101
- BoxIntegral.IntegrationParams.MemBaseSetstatement and proof · cited by 34
- Set.ofPred_existsproof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.