Theorems · Theorem · ring theory

AlgHom.val_comp_codRestrict

∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : Semiring B] [inst_4 : Algebra R B] (f : A →ₐ[R] B) (S : Subalgebra R B) (hf : ∀ (x : A), f x ∈ S),
  S.val.comp (f.codRestrict S hf) = f

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Basic

Cited by

5 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebra