Theorems · Theorem · complex analysis
isCoveringMap_npow
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [ProperSpace 𝕜] (n : ℕ), ↑n ≠ 0 → IsCoveringMap fun x => ⟨↑x ^ n, ⋯⟩(· ^ n) : 𝕜 \ {0} → 𝕜 \ {0} is a covering map (if n ≠ 0 in 𝕜).
- Defined in
- Mathlib.Analysis.Complex.CoveringMap
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpaceproof · cited by 24,529
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Compl.complproof · cited by 2,925
- Set.extproof · cited by 2,266
- Nat.cast_zeroproof · cited by 1,870
- pow_ne_zerostatement and proof · cited by 208
- ProperSpacestatement and proof · cited by 190
- Set.restrictPreimageproof · cited by 84
Cited by1
Results whose statement or proof uses this declaration.
- isCoveringMap_zpowproof · cited by 1