Theorems · Theorem · general topology
EReal.tendsto_coe
∀ {α : Type u_2} {f : Filter α} {m : α → ℝ} {a : ℝ},
Filter.Tendsto (fun a => ↑(m a)) f (nhds ↑a) ↔ Filter.Tendsto m f (nhds a)- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 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.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- ERealstatement · cited by 793
- Real.toERealstatement · cited by 303
- Topology.IsEmbedding.tendsto_nhds_iffproof · cited by 13
- EReal.isEmbedding_coeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- EReal.tendsto_const_div_atTop_nhds_zero_natproof · cited by 4