Theorems · Theorem · commutative algebra

DividedPowerAlgebra.mapEquiv_trans

∀ {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]
  (g : M ≃ₗ[R] N) (h : N ≃ₗ[R] P),
  (DividedPowerAlgebra.mapEquiv g).trans (DividedPowerAlgebra.mapEquiv h) = DividedPowerAlgebra.mapEquiv (g ≪≫ₗ h)

Defined in

Mathlib.RingTheory.DividedPowerAlgebra.Init

Cited by

0 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModule