Theorems · Theorem · complex analysis
Complex.UnitDisc.tendsto_pow_atTop_nhds_zero
∀ (z : Complex.UnitDisc), Filter.Tendsto (fun n => z ^ n) Filter.atTop (nhds 0)
- Defined in
- Mathlib.Analysis.Complex.UnitDisc.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterproof · cited by 8,121
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Filter.Tendsto.compproof · cited by 560
- PNatstatement and proof · cited by 392
- Complex.UnitDiscstatement and proof · cited by 52
- Topology.IsEmbedding.tendsto_nhds_iffproof · cited by 13
- Complex.UnitDisc.norm_lt_oneproof · cited by 7
- Complex.UnitDisc.isEmbedding_coeproof · cited by 4
- tendsto_pow_atTop_nhds_zero_iff_norm_lt_oneproof · cited by 3
- tendsto_PNat_val_atTop_atTopproof · cited by 2
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