Theorems · Theorem · commutative algebra

DividedPowerAlgebra.dp_add

∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {n : ℕ}
  {x y : M},
  DividedPowerAlgebra.dp R n (x + y) =
    ∑ k ∈ Finset.HasAntidiagonal.antidiagonal n, DividedPowerAlgebra.dp R k.1 x * DividedPowerAlgebra.dp R k.2 y

Defined in

Mathlib.RingTheory.DividedPowerAlgebra.Init

Cited by

3 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule