Theorems · Theorem · real analysis
Real.tendsto_log_comp_add_sub_log
∀ (y : ℝ), Filter.Tendsto (fun x => Real.log (x + y) - Real.log x) Filter.atTop (nhds 0)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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
- Filterproof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- add_zeroproof · cited by 2,707
- Filter.atTopstatement and proof · cited by 2,405
- Nat.cast_zeroproof · cited by 1,870
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Real.logstatement and proof · cited by 939
- Real.expproof · cited by 871
- Filter.comapproof · cited by 546
Cited by3
Results whose statement or proof uses this declaration.
- Real.tendsto_eulerMascheroniSeq'proof · cited by 3
- Real.tendsto_log_nat_add_one_sub_logproof · cited by 2
- Real.tendsto_logb_comp_add_sub_logbproof · cited by 1