cauSeqIm — Mathlib

English

Definition: cauSeqIm(f) is the CauSeq of imaginary parts extracted from a complex CauSeq.

Русский

Определение: cauSeqIm(f) — CauSeq мнимых частей из комплексной CauSeq.

LaTeX

$$$\\mathrm{cauSeqIm}(f) = \\langle\\_, isCauSeq\\; im\\; f\\rangle$$$

Lean4

/-- The imaginary part of a complex Cauchy sequence, as a real Cauchy sequence. -/
noncomputable def cauSeqIm (f : CauSeq ℂ (‖·‖)) : CauSeq ℝ abs :=
  ⟨_, isCauSeq_im f⟩

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