Theorems · Theorem · general topology
ENNReal.tendsto_coe_toNNReal
∀ {a : ENNReal}, a ≠ ⊤ → Filter.Tendsto ENNReal.ofNNReal (nhds a.toNNReal) (nhds a)- Cited by
- 1 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.
Cites10
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
- Top.topstatement and proof · cited by 9,680
- nhdsstatement and proof · cited by 5,554
- NNRealstatement · cited by 4,310
- Filter.Tendstostatement and proof · cited by 3,814
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- Continuous.tendstoproof · cited by 206
- ENNReal.toNNRealstatement and proof · cited by 165
- ENNReal.coe_toNNRealproof · cited by 53
- ENNReal.continuous_coeproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.tendsto_toNNReal_iffproof · cited by 3