Theorems · Theorem · Lie groups
ENNReal.nhds_coe_coe
∀ {r p : NNReal}, nhds (↑r, ↑p) = Filter.map (fun p => (↑p.1, ↑p.2)) (nhds (r, p))- Defined in
- Mathlib.Topology.Algebra.Ring.Real
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 130 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.
- ENNRealstatement · cited by 9,879
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- Filter.mapstatement · cited by 819
- Topology.IsOpenEmbedding.map_nhds_eqproof · cited by 22
- ENNReal.isOpenEmbedding_coeproof · cited by 3
- Topology.IsOpenEmbedding.prodMapproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.tendsto_subproof · cited by 2
- ENNReal.tendsto_mulproof · cited by 1