circleIntegral.integral_sub_inv_of_mem_ball

∀ {c w : ℂ} {R : ℝ}, w ∈ Metric.ball c R → ∮ (z : ℂ) in C(c, R), (z - w)⁻¹ = 2 * ↑Real.pi * Complex.I

Integral $\oint_{|z-c|=R} \frac{dz}{z-w} = 2πi$ whenever $|w-c| < R$.

Defined in: Mathlib.MeasureTheory.Integral.CircleIntegral
Cited by: 1 results in Mathlib
Foundations: Depth 279 from the axioms · uses propext, Classical.choice, Quot.sound

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