Theorems · Theorem · real analysis
continuousAt_cpow_const
∀ {a b : ℂ}, a ∈ Complex.slitPlane → ContinuousAt (fun x => x ^ b) a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- ContinuousAtstatement · cited by 697
- Filter.Tendsto.compproof · cited by 560
- Complex.slitPlanestatement and proof · cited by 113
- continuousAt_constproof · cited by 59
- continuousAt_idproof · cited by 28
- ContinuousAt.prodMkproof · cited by 18
- continuousAt_cpowproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- intervalIntegral.intervalIntegrable_cpow'proof · cited by 7
- Complex.GammaIntegral_convergentproof · cited by 3
- integral_gaussian_complexproof · cited by 2