Theorems · Theorem · real analysis
BoxIntegral.unitPartition.mem_prepartition_boxes_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).boxes ↔
∃ ν ∈ BoxIntegral.unitPartition.admissibleIndex n B, BoxIntegral.unitPartition.box n ν = I- Cited by
- 2 results in Mathlib
- Foundations
- Depth 256 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartition.boxesstatement · cited by 77
- BoxIntegral.TaggedPrepartition.toPrepartitionstatement · cited by 51
- BoxIntegral.unitPartition.boxstatement · cited by 22
- BoxIntegral.unitPartition.prepartitionstatement · cited by 10
- BoxIntegral.unitPartition.admissibleIndexstatement · cited by 9
- BoxIntegral.unitPartition.mem_prepartition_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.box_index_tag_eq_selfproof · cited by 1
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1