Theorems · Theorem · commutative algebra

DividedPowerAlgebra.map_comp

∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {N : Type u_5}
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] {P : Type u_6} [inst_5 : AddCommMonoid P] [inst_6 : Module R P]
  (f : M →ₗ[R] N) (g : N →ₗ[R] P),
  DividedPowerAlgebra.map R (g ∘ₗ f) = (DividedPowerAlgebra.map R g).comp (DividedPowerAlgebra.map R f)

Defined in

Mathlib.RingTheory.DividedPowerAlgebra.Init

Cited by

1 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModule