Theorems · Definition · commutative algebra

Polynomial.algebra

(R : Type u_1) →
  (A : Type u_3) →
    [inst : CommSemiring R] → [inst_1 : Semiring A] → [Algebra R A] → Algebra (Polynomial R) (Polynomial A)

If A is an R-algebra, then A[X] is an R[X] algebra. This gives a diamond for Algebra R[X] R[X][X], so this is not a global instance.

Defined in

Mathlib.RingTheory.PolynomialAlgebra

Cited by

19 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra