Theorems · Theorem · real analysis
BoxIntegral.unitPartition.mem_prepartition_iff
∀ {ι : Type u_1} {n : ℕ} [inst : NeZero n] [inst_1 : Fintype ι] {B I : BoxIntegral.Box ι},
I ∈ BoxIntegral.unitPartition.prepartition n B ↔
∃ ν ∈ BoxIntegral.unitPartition.admissibleIndex n B, BoxIntegral.unitPartition.box n ν = I- Cited by
- 4 results in Mathlib
- Foundations
- Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finset.imageproof · cited by 910
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- Finset.mem_imageproof · cited by 105
- BoxIntegral.unitPartition.boxstatement and proof · cited by 22
- BoxIntegral.unitPartition.tagproof · cited by 12
- BoxIntegral.unitPartition.prepartitionstatement · cited by 10
- BoxIntegral.unitPartition.admissibleIndexstatement and proof · cited by 9
- BoxIntegral.Box.exists_memproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.mem_prepartition_boxes_iffproof · cited by 2
- BoxIntegral.unitPartition.prepartition_isSubordinateproof · cited by 1
- BoxIntegral.unitPartition.prepartition_isHenstockproof · cited by 1
- BoxIntegral.unitPartition.prepartition_isPartitionproof · cited by 1