Theorems · Theorem · real analysis
Real.tendsto_logb_nhdsNE_zero_of_base_lt_one
∀ {b : ℝ}, 0 < b → b < 1 → Filter.Tendsto (Real.logb b) (nhdsWithin 0 {0}ᶜ) Filter.atTop- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Filter.Tendstostatement · cited by 3,814
- Compl.complstatement · cited by 2,925
- Filter.atTopstatement · cited by 2,405
- nhdsWithinstatement · cited by 1,912
- Real.logbstatement · cited by 119
- Real.log_negproof · cited by 15
- Real.tendsto_log_nhdsNE_zeroproof · cited by 8
- inv_lt_zeroproof · cited by 6
- Filter.Tendsto.atBot_mul_const_of_negproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.continuousAt_logb_iffproof · cited by 0