Theorems · Theorem · ring theory

AddMonoidAlgebra.domCongr_comp_lsingle

∀ {R : Type u_1} {A : Type u_4} {M : Type u_7} {N : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Algebra R A] [inst_3 : AddMonoid M] [inst_4 : AddMonoid N] (e : M ≃+ N) (m : M),
  (AddMonoidAlgebra.domCongr R A e).toLinearMap ∘ₗ AddMonoidAlgebra.lsingle m = AddMonoidAlgebra.lsingle (e m)

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddMonoidAddMonoid