Theorems · Theorem · commutative algebra

MvPolynomial.coeff_uniqueAlgEquiv

∀ (R : Type u) {σ : Type u_1} [inst : CommSemiring R] [inst_1 : Unique σ] (P : MvPolynomial σ R) (n : ℕ),
  ((MvPolynomial.uniqueAlgEquiv R σ) P).coeff n = MvPolynomial.coeff (fun₀ | default => n) P

The coefficient of X ^ n in uniqueAlgEquiv R σ P is the coefficient of the unique monomial of degree n in P.

Defined in

Mathlib.Algebra.MvPolynomial.Equiv

Cited by

1 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringUnique