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Theorems · Theorem · real analysis

HasDerivWithinAt.csin

∀ {f : ℂ → ℂ} {f' x : ℂ} {s : Set ℂ},
  HasDerivWithinAt f f' s x → HasDerivWithinAt (fun x => Complex.sin (f x)) (Complex.cos (f x) * f') s 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.

derivWithin_csin · cited by 0derivWithin_csinSet · cited by 53352SetComplex · cited by 5565ComplexHasDerivWithinAt · cited by 333HasDerivWithinAtComplex.cos · cited by 279Complex.cosComplex.sin · cited by 258Complex.sinHasDerivAt.comp_hasDerivWithinAt · cited by 21HasDerivAt.comp_hasDerivW…Complex.hasDerivAt_sin · cited by 10Complex.hasDerivAt_sinHasDerivWithinAt.csinCITED BYCITES

Cites7

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Cited by1

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