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Theorems · Theorem · special functions

AnalyticAt.cexp

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : E → ℂ} {x : E},
  AnalyticAt ℂ f x → AnalyticAt ℂ (Complex.exp ∘ f) x

exp ∘ f is analytic

Defined in
Mathlib.Analysis.SpecialFunctions.ExpDeriv
Cited by
1 results in Mathlib
Foundations
Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpace
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Around this declaration

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

AnalyticAt.cexp' · cited by 0AnalyticAt.cexp'NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceComplex · cited by 5565ComplexComplex.exp · cited by 612Complex.expAnalyticAt · cited by 321AnalyticAtAnalyticAt.comp · cited by 28AnalyticAt.companalyticAt_cexp · cited by 5analyticAt_cexpAnalyticAt.cexpCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.