Theorems · Theorem · real analysis
BoxIntegral.IntegrationParams.exists_memBaseSet_isPartition
∀ {ι : Type u_1} [inst : Fintype ι] {c : NNReal} (l : BoxIntegral.IntegrationParams) (I : BoxIntegral.Box ι),
I.distortion ≤ c → ∀ (r : (ι → ℝ) → ↑(Set.Ioi 0)), ∃ π, l.MemBaseSet I c r π ∧ π.IsPartition- 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.
Cites21
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
- Top.topproof · cited by 9,680
- 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.Box.toSetproof · cited by 121
- BoxIntegral.IntegrationParamsstatement and proof · cited by 101
- BoxIntegral.TaggedPrepartition.iUnionproof · cited by 51
- BoxIntegral.IntegrationParams.MemBaseSetstatement and proof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.