Theorems · Theorem · commutative algebra

PolynomialModule.eval_lsingle

∀ {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.lsingle R i) m) = r ^ i • m

Defined in

Mathlib.Algebra.Polynomial.Module.Basic

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule