Theorems · Theorem · real analysis
BoxIntegral.unitPartition.mem_box_iff_index
∀ {ι : Type u_1} {n : ℕ} [inst : NeZero n] {x : ι → ℝ} {ν : ι → ℤ},
x ∈ BoxIntegral.unitPartition.box n ν ↔ BoxIntegral.unitPartition.index n x = ν- Cited by
- 3 results in Mathlib
- Foundations
- Depth 112 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.
Cites7
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
- Int.cast_oneproof · cited by 371
- add_sub_cancel_rightproof · cited by 187
- Int.cast_addproof · cited by 124
- BoxIntegral.unitPartition.boxstatement · cited by 22
- BoxIntegral.unitPartition.indexstatement and proof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.disjointproof · cited by 2
- BoxIntegral.unitPartition.index_tagproof · cited by 1
- BoxIntegral.unitPartition.prepartition_isPartitionproof · cited by 1