Theorems · Theorem · general topology
ENNReal.tendsto_mul
∀ {a b : ENNReal}, a ≠ 0 ∨ b ≠ ⊤ → b ≠ 0 ∨ a ≠ ⊤ → Filter.Tendsto (fun p => p.1 * p.2) (nhds (a, b)) (nhds (a * b))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- NNRealproof · cited by 4,310
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- mul_commproof · cited by 2,262
- LT.lt.ne'proof · cited by 1,417
- ENNReal.ofNNRealproof · cited by 1,279
- Filter.Eventually.monoproof · cited by 646
- Filter.Tendsto.compproof · cited by 560
- Continuous.tendstoproof · cited by 206
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.Tendsto.mulproof · cited by 9