Theorems · Theorem · commutative algebra

DividedPowerAlgebra.algHom_ext_iff

∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {A : Type u_4}
  [inst_3 : CommSemiring A] [inst_4 : Algebra R A] {f g : DividedPowerAlgebra R M →ₐ[R] A},
  f = g ↔ ∀ (n : ℕ) (m : M), f (DividedPowerAlgebra.dp R n m) = g (DividedPowerAlgebra.dp R n m)

Defined in

Mathlib.RingTheory.DividedPowerAlgebra.Init

Cited by

3 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleCommSemiringAlgebra