Theorems · Theorem · commutative algebra

DividedPowerAlgebra.dp_smul

∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {r : R} {n : ℕ}
  {m : M}, DividedPowerAlgebra.dp R n (r • m) = r ^ n • DividedPowerAlgebra.dp R n m

Defined in

Mathlib.RingTheory.DividedPowerAlgebra.Init

Cited by

4 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule