Theorems · Definition · category theory

AlgCat.ofHom

{R : Type u} →
  [inst : CommRing R] →
    {A B : Type v} →
      [inst_1 : Ring A] →
        [inst_2 : Ring B] →
          [inst_3 : Algebra R A] → [inst_4 : Algebra R B] → (A →ₐ[R] B) → (AlgCat.of R A ⟶ AlgCat.of R B)

Typecheck an AlgHom as a morphism in AlgCat.

Defined in

Mathlib.Algebra.Category.AlgCat.Basic

Cited by

16 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommRingRingRingAlgebraAlgebra