Theorems · Theorem · ring theory

IsSymmetricAlgebra.algHom_ext

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {A : Type u_3}
  [inst_3 : CommSemiring A] [inst_4 : Algebra R A] {f : M →ₗ[R] A} {A' : Type u_4} [inst_5 : CommSemiring A']
  [inst_6 : Algebra R A'], IsSymmetricAlgebra f → ∀ {F G : A →ₐ[R] A'}, ↑F ∘ₗ f = ↑G ∘ₗ f → F = G

Defined in

Mathlib.LinearAlgebra.SymmetricAlgebra.Basic

Cited by

1 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleCommSemiringAlgebraCommSemiringAlgebra