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Theorems · Theorem · complex analysis

Set.Countable.preimage_cexp

∀ {s : Set ℂ}, s.Countable → (Complex.exp ⁻¹' s).Countable

Alias of the reverse direction of Complex.countable_preimage_exp.

Defined in
Mathlib.Analysis.SpecialFunctions.Complex.Log
Cited by
2 results in Mathlib
Foundations
Depth 198 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.

Complex.circleIntegral_sub_center_inv_smul_eq_of_differentiable_on_annulus_off_countable · cited by 2Complex.circleIntegral_su…Set.Countable.preimage_circleMap · cited by 1Countable.preimage_circle…Set · cited by 53352SetComplex · cited by 5565ComplexSet.preimage · cited by 4946Set.preimageComplex.exp · cited by 612Complex.expSet.Countable · cited by 545Set.CountableComplex.countable_preimage_exp · cited by 1Complex.countable_preimag…Countable.preimage_cexpCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.