Theorems · Definition · order theory
Finset.box
{α : Type u_1} → [Ring α] → [inst : PartialOrder α] → [LocallyFiniteOrder α] → [DecidableEq α] → ℕ → Finset αHollow box centered at 0 : α going from -n to n.
- Defined in
- Mathlib.Order.Interval.Finset.Box
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccproof · cited by 348
- disjointedproof · cited by 64
Cited by12
Results whose statement or proof uses this declaration.
- EisensteinSeries.summable_one_div_norm_rpowproof · cited by 4
- Finset.box_succ_eq_sdiffstatement · cited by 4
- Finset.box_zerostatement · cited by 3
- Int.mem_boxstatement and proof · cited by 1
- Finset.zero_mem_boxstatement · cited by 1
- Finset.disjoint_box_succ_prodstatement · cited by 1
- Prod.card_box_succstatement · cited by 1
- Finset.box_succ_union_prodstatement · cited by 1
- Int.card_boxstatement and proof · cited by 1
- Int.existsUnique_mem_boxstatement · cited by 1
- Finset.eq_zero_iff_eq_zero_of_mem_boxstatement and proof · cited by 0
- Finset.box_succ_disjUnionstatement and proof · cited by 0