Theorems · Theorem · commutative algebra

PolynomialModule.lsingle_apply

∀ {R : Type u_2} {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (i : ℕ) (m : M)
  (n : ℕ), ((PolynomialModule.lsingle R i) m).coeff n = if i = n then m else 0

Defined in

Mathlib.Algebra.Polynomial.Module.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingAddCommGroupModule