Theorems · Theorem · order theory
Finset.tendsto_Ioc_atBot_prod_atTop
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] [NoBotOrder α],
Filter.Tendsto (fun p => Finset.Ioc p.1 p.2) (Filter.atBot ×ˢ Filter.atTop) Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Interval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Filterstatement · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Filter.Tendstostatement · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- Filter.atTopstatement and proof · cited by 2,405
- SProd.sprodstatement and proof · cited by 1,750
- LocallyFiniteOrderstatement and proof · cited by 658
- Filter.atBotstatement and proof · cited by 512
- Finset.Iocstatement · cited by 301
- Filter.eventually_ge_atTopproof · cited by 111
Cited by1
Results whose statement or proof uses this declaration.
- Finset.tendsto_Ioc_neg_atTop_atTopproof · cited by 1