Theorems · Theorem · order theory
Finset.box_succ_union_prod
∀ {α : Type u_1} [inst : Ring α] [inst_1 : PartialOrder α] [IsOrderedRing α] [inst_3 : LocallyFiniteOrder α]
[inst_4 : DecidableEq α] (n : ℕ), Finset.box (n + 1) ∪ Finset.Icc (-↑n) ↑n = Finset.Icc (-↑n.succ) ↑n.succ- Defined in
- Mathlib.Order.Interval.Finset.Box
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- IsOrderedRingstatement and proof · cited by 777
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement · cited by 348
- Finset.boxstatement · cited by 12
- Monotone.disjointed_add_one_supproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.box_succ_disjUnionproof · cited by 0