Theorems · Theorem · real analysis
Real.tendsto_logb_atTop_of_base_lt_one
∀ {b : ℝ}, 0 < b → b < 1 → Filter.Tendsto (Real.logb b) Filter.atTop Filter.atBot- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- zero_lt_oneproof · cited by 598
- Filter.atBotstatement · cited by 512
- lt_of_lt_of_leproof · cited by 438
- Real.logbstatement and proof · cited by 119
- Filter.tendsto_atTop_atBotproof · cited by 2
- Real.logb_le_iff_le_rpow_of_base_lt_oneproof · cited by 1
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