Theorems · Theorem · real analysis
BoxIntegral.unitPartition.disjoint
∀ {ι : Type u_1} {n : ℕ} [inst : NeZero n] {ν ν' : ι → ℤ},
ν ≠ ν' ↔ Disjoint ↑(BoxIntegral.unitPartition.box n ν) ↑(BoxIntegral.unitPartition.box n ν')- Cited by
- 2 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Disjointstatement · cited by 2,201
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- not_iff_commproof · cited by 32
- Set.not_disjoint_iffproof · cited by 30
- BoxIntegral.unitPartition.boxstatement and proof · cited by 22
- BoxIntegral.unitPartition.tagproof · cited by 12
- BoxIntegral.unitPartition.indexproof · cited by 10
- BoxIntegral.unitPartition.tag_memproof · cited by 4
- BoxIntegral.unitPartition.mem_box_iff_indexproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.box_injectiveproof · cited by 2
- BoxIntegral.unitPartition.setFinite_indexproof · cited by 0