Theorems · Theorem · sequences and series
NNRat.tendsto_algebraMap_inv_atTop_nhds_zero_nat
∀ (𝕜 : Type u_4) [inst : Semiring 𝕜] [inst_1 : Algebra ℚ≥0 𝕜] [inst_2 : TopologicalSpace 𝕜] [ContinuousSMul ℚ≥0 𝕜], Filter.Tendsto (⇑(algebraMap ℚ≥0 𝕜) ∘ fun n => (↑n)⁻¹) Filter.atTop (nhds 0)
- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Filterproof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Algebra.algebraMapstatement and proof · cited by 4,706
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- map_zeroproof · cited by 1,614
- ContinuousSMulstatement and proof · cited by 1,016
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_inv_atTop_nhds_zero_natproof · cited by 9