Theorems · Theorem · general topology
EReal.tendsto_coe_ennreal
∀ {α : Type u_2} {f : Filter α} {m : α → ENNReal} {a : ENNReal},
Filter.Tendsto (fun a => ↑(m a)) f (nhds ↑a) ↔ Filter.Tendsto m f (nhds a)- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 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.
- ENNRealstatement and proof · cited by 9,879
- Filterstatement and proof · cited by 8,121
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- ERealstatement · cited by 793
- ENNReal.toERealstatement · cited by 56
- Topology.IsEmbedding.tendsto_nhds_iffproof · cited by 13
- EReal.isEmbedding_coe_ennrealproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.