Theorems · Definition · real analysis
BoxIntegral.unitPartition.index
{ι : Type u_1} → ℕ → (ι → ℝ) → ι → ℤFor x : ι → ℝ, its index is the index of the unique unitPartition.box to which
it belongs.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by10
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.mem_box_iff_indexstatement and proof · cited by 3
- BoxIntegral.unitPartition.tag_index_eq_self_of_mem_smul_spanstatement and proof · cited by 2
- BoxIntegral.unitPartition.disjointproof · cited by 2
- BoxIntegral.unitPartition.mem_admissibleIndex_of_mem_boxstatement · cited by 2
- BoxIntegral.unitPartition.box_index_tag_eq_selfstatement and proof · cited by 1
- BoxIntegral.unitPartition.eq_of_mem_smul_span_of_index_eq_indexstatement and proof · cited by 1
- BoxIntegral.unitPartition.index_applystatement · cited by 1
- BoxIntegral.unitPartition.index_tagstatement · cited by 1
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1
- BoxIntegral.unitPartition.prepartition_isPartitionproof · cited by 1