Theorems · Theorem · order theory
Finset.tendsto_Ioo_neg_atTop_atTop
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α]
[inst_3 : LocallyFiniteOrder α] [NoBotOrder α] [NoTopOrder α],
Filter.Tendsto (fun a => Finset.Ioo (-a) a) Filter.atTop Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Interval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- LocallyFiniteOrderstatement and proof · cited by 658
- Filter.Tendsto.compproof · cited by 560
- Finset.Ioostatement · cited by 185
- Filter.tendsto_idproof · cited by 180
- NoTopOrderstatement and proof · cited by 50
- NoBotOrderstatement and proof · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- Finset.tendsto_Ioo_negproof · cited by 0