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Theorems · Theorem · ring theory

SkewPolynomial.coeff_update_apply

Deprecated since 2026-07-06Use SkewPolynomial.coeff_update instead.

∀ {R : Type u_1} [inst : Semiring R] (p : SkewPolynomial R) (n : ℕ) (a : R) (i : ℕ),
  (p.update n a).coeff i = if i = n then a else p.coeff i
Defined in
Mathlib.Algebra.SkewPolynomial.Basic
Cited by
2 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring

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