Theorems · Theorem · real analysis
BoxIntegral.TaggedPrepartition.IsSubordinate.infPrepartition
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π : BoxIntegral.TaggedPrepartition I} {r : (ι → ℝ) → ↑(Set.Ioi 0)}
[inst : Fintype ι], π.IsSubordinate r → ∀ (π' : BoxIntegral.Prepartition I), (π.infPrepartition π').IsSubordinate r- Cited by
- 1 results in Mathlib
- Foundations
- Depth 155 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
- 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.Prepartition.restrictproof · cited by 16
- BoxIntegral.TaggedPrepartition.IsSubordinatestatement and proof · cited by 15
- BoxIntegral.TaggedPrepartition.infPrepartitionstatement · cited by 7
- BoxIntegral.TaggedPrepartition.IsSubordinate.biUnionPrepartitionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.integrable_of_bounded_and_ae_continuousWithinAtproof · cited by 2