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Theorems · Theorem · special functions

analyticAt_cexp

∀ {z : ℂ}, AnalyticAt ℂ Complex.exp z

The function Complex.exp is complex analytic.

Defined in
Mathlib.Analysis.SpecialFunctions.ExpDeriv
Cited by
5 results in Mathlib
Foundations
Depth 191 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.

analyticOnNhd_circleMap · cited by 3analyticOnNhd_circleMapAnalyticWithinAt.cexp · cited by 1AnalyticWithinAt.cexpAnalyticAt.cexp · cited by 1AnalyticAt.cexpAnalyticOnNhd.cexp · cited by 0AnalyticOnNhd.cexpanalyticWithinAt_cexp · cited by 0analyticWithinAt_cexpComplex · cited by 5565ComplexComplex.exp · cited by 612Complex.expSet.mem_univ · cited by 416Set.mem_univAnalyticAt · cited by 321AnalyticAtanalyticOnNhd_cexp · cited by 4analyticOnNhd_cexpanalyticAt_cexpCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.