Theorems · Theorem · real analysis
BoxIntegral.IntegrationParams.toFilter_inf_iUnion_eq
∀ {ι : Type u_1} [inst : Fintype ι] (l : BoxIntegral.IntegrationParams) (I : BoxIntegral.Box ι)
(π₀ : BoxIntegral.Prepartition I),
l.toFilter I ⊓ Filter.principal {π | π.iUnion = π₀.iUnion} = BoxIntegral.IntegrationParams.toFilteriUnion I π₀- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Filterstatement · cited by 8,121
- Fintypestatement and proof · cited by 7,736
- Set.ofPredstatement and proof · cited by 6,101
- Filter.principalstatement · cited by 740
- 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
- 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.Integrable.cauchy_map_integralSum_toFilteriUnionproof · cited by 1