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Theorems · Theorem · real analysis

HasDerivAt.csin

∀ {f : ℂ → ℂ} {f' x : ℂ}, HasDerivAt f f' x → HasDerivAt (fun x => Complex.sin (f x)) (Complex.cos (f x) * f') x
Defined in
Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv
Cited by
1 results in Mathlib
Foundations
Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

deriv_csin · cited by 0deriv_csinComplex · cited by 5565ComplexHasDerivAt · cited by 493HasDerivAtComplex.cos · cited by 279Complex.cosComplex.sin · cited by 258Complex.sinHasDerivAt.comp · cited by 43HasDerivAt.compComplex.hasDerivAt_sin · cited by 10Complex.hasDerivAt_sinHasDerivAt.csinCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.