Theorems · Theorem · real analysis
BoxIntegral.unitPartition.mem_box_iff
∀ {ι : Type u_1} {n : ℕ} [inst : NeZero n] {ν : ι → ℤ} {x : ι → ℝ},
x ∈ BoxIntegral.unitPartition.box n ν ↔ ∀ (i : ι), ↑(ν i) / ↑n < x i ∧ x i ≤ (↑(ν i) + 1) / ↑n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
Cites3
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
- BoxIntegral.Boxstatement · cited by 464
- BoxIntegral.unitPartition.boxstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.tag_memproof · cited by 4