Mathlib Map

Theorems · Theorem · special functions

AnalyticWithinAt.cexp

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : E → ℂ} {x : E} {s : Set E},
  AnalyticWithinAt ℂ f s x → AnalyticWithinAt ℂ (fun z => Complex.exp (f z)) s x
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
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AnalyticWithinAt.cpow · cited by 2AnalyticWithinAt.cpowSet · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceComplex · cited by 5565ComplexComplex.exp · cited by 612Complex.expAnalyticWithinAt · cited by 96AnalyticWithinAtAnalyticAt.comp_analyticWithinAt · cited by 10AnalyticAt.comp_analyticW…analyticAt_cexp · cited by 5analyticAt_cexpAnalyticWithinAt.cexpCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.