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Theorems · Theorem · complex analysis

circleIntegral.integral_sub_zpow_of_ne

∀ {n : ℤ}, n ≠ -1 → ∀ (c w : ℂ) (R : ℝ), ∮ (z : ℂ) in C(c, R), (z - w) ^ n = 0

If n ≠ -1 is an integer number, then the integral of (z - w) ^ n over the circle equals zero.

Defined in
Mathlib.MeasureTheory.Integral.CircleIntegral
Cited by
2 results in Mathlib
Foundations
Depth 278 from the axioms · uses propext, Classical.choice, Quot.sound

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