Theorems · Theorem · complex analysis
Complex.UnitClosedDisc.continuous_pow
∀ (n : ℕ), Continuous fun x => x ^ n
- Defined in
- Mathlib.Analysis.Complex.UnitDisc.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 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.
- TopologicalSpaceproof · cited by 24,529
- Continuousstatement · cited by 2,592
- continuous_id'proof · cited by 295
- Continuous.comp'proof · cited by 184
- Complex.UnitClosedDiscstatement and proof · cited by 42
- Continuous.fun_powproof · cited by 39
- Topology.IsEmbedding.continuous_iffproof · cited by 21
- Complex.UnitClosedDisc.isEmbedding_coeproof · cited by 2
- Complex.UnitClosedDisc.continuous_coeproof · cited by 1
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