Theorems · Theorem · sequences and series
tendsto_pow_atTop_nhds_zero_of_abs_lt_one
∀ {r : ℝ}, |r| < 1 → Filter.Tendsto (fun n => r ^ n) Filter.atTop (nhds 0)- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- absstatement and proof · cited by 1,814
- tendsto_pow_atTop_nhds_zero_of_norm_lt_oneproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- ofDigits_cantorToTernaryproof · cited by 1
- tendsto_fib_succ_div_fib_atTopproof · cited by 1
- Real.hasSum_ofDigitsTerm_digitsproof · cited by 1