Theorems · Theorem · commutative algebra

PolynomialModule.eval_single

∀ {R : Type u_2} {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (r : R) (i : ℕ)
  (m : M), (PolynomialModule.eval r) (PolynomialModule.single R i m) = r ^ i • m

Defined in

Mathlib.Algebra.Polynomial.Module.Basic

Cited by

9 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule