Theorems · Theorem · real analysis
Real.tendsto_logb_nhdsGT_zero_of_base_lt_one
∀ {b : ℝ}, 0 < b → b < 1 → Filter.Tendsto (Real.logb b) (nhdsWithin 0 (Set.Ioi 0)) Filter.atTop- Cited by
- 0 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.
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
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- nhdsWithinstatement · cited by 1,912
- Set.Ioistatement · cited by 1,463
- Real.logbstatement · cited by 119
- Real.log_negproof · cited by 15
- inv_lt_zeroproof · cited by 6
- Real.tendsto_log_nhdsGT_zeroproof · cited by 5
- Filter.Tendsto.atBot_mul_const_of_negproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.