Theorems · Theorem · general topology
OrderIso.tendsto_atTop
∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] (e : α ≃o β),
Filter.Tendsto (⇑e) Filter.atTop Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Map
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- OrderIsostatement and proof · cited by 874
- Eq.leproof · cited by 605
- OrderIso.map_atTopproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Filter.tendsto_neg_atTop_atBotproof · cited by 18
- Real.tendsto_arctan_atTopproof · cited by 2
- Filter.tendsto_inv_atTop_atBotproof · cited by 1