[Merged by Bors] - feat: DifferentiableOn.cpow
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(context: this mirrors DifferentiableOn.rpow and would've golfed AlexKontorovich/PrimeNumberTheoremAnd#22 a bit) |
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| @@ -131,6 +131,22 @@ theorem DifferentiableWithinAt.const_cpow (hf : DifferentiableWithinAt ℂ f s x | |||
| (hf.hasFDerivWithinAt.const_cpow h0).differentiableWithinAt | |||
| #align differentiable_within_at.const_cpow DifferentiableWithinAt.const_cpow | |||
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| theorem DifferentiableOn.cpow (hf : DifferentiableOn ℂ f s) (hg : DifferentiableOn ℂ g s) | |||
| (h0 : ∀ x ∈ s, f x ∈ slitPlane) : DifferentiableOn ℂ (fun x ↦ f x ^ g x) s := | |||
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Is this the best spelling for h0 or should it be something like s ⊆ f ⁻¹' slitPlane?
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It should be MapsTo f s slitPlane.
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changed to MapsTo
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bors r+ |
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Pull request successfully merged into master. Build succeeded: |
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DifferentiableOn.cpowDifferentiableOn.cpow
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