Theorems · Theorem · ring theory

IsSymmetricAlgebra.equiv_symm_apply

∀ {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} (h : IsSymmetricAlgebra f) (a : M),
  h.equiv.symm (f a) = (SymmetricAlgebra.ι R M) a

Defined in

Mathlib.LinearAlgebra.SymmetricAlgebra.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

CommSemiringAddCommMonoidModuleCommSemiringAlgebra