Theorems · Theorem · real analysis
Real.tendsto_logb_comp_add_sub_logb
∀ {b : ℝ} (y : ℝ), Filter.Tendsto (fun x => Real.logb b (x + y) - Real.logb b x) Filter.atTop (nhds 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 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.
- Realstatement and proof · cited by 25,697
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Real.logproof · cited by 939
- zero_divproof · cited by 222
- Real.logbstatement · cited by 119
- sub_divproof · cited by 37
- Filter.Tendsto.div_constproof · cited by 12
- Real.tendsto_log_comp_add_sub_logproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.tendsto_logb_nat_add_one_sub_logbproof · cited by 0