Function.FactorizedRational.ne_zero

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {d : 𝕜 → ℤ} {x : 𝕜},
  d x = 0 → (∏ᶠ (u : 𝕜), (fun x => x - u) ^ d u) x ≠ 0

Factorized rational functions are non-zero wherever the exponent is zero.

Defined in: Mathlib.Analysis.Meromorphic.FactorizedRational
Cited by: 0 results in Mathlib
Foundations: Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField

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