Theorems · Theorem · general topology
Filter.not_tendsto_const_atTop
∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [NoTopOrder α] (x : α) (l : Filter β) [l.NeBot],
¬Filter.Tendsto (fun x_1 => x) l Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Tendsto
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- Filter.NeBotstatement and proof · cited by 853
- NoTopOrderstatement and proof · cited by 50
- Filter.Tendsto.not_tendstoproof · cited by 14
- Filter.tendsto_const_pureproof · cited by 9
- Filter.disjoint_pure_atTopproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- NormedAlgebra.Real.exists_isMonicOfDegree_two_and_aeval_eq_zeroproof · cited by 1