Theorems · Inductive type · category theory

CategoryTheory.IsRingHom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      {R₁ R₂ : C} →
        [CategoryTheory.AddMonObj R₁] →
          [CategoryTheory.AddMonObj R₂] → [CategoryTheory.MonObj R₁] → [CategoryTheory.MonObj R₂] → (R₁ ⟶ R₂) → Prop

The property that a morphism between ring objects is a ring morphism.

Defined in

Mathlib.CategoryTheory.Monoidal.Ring

Cited by

10 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.AddMonObjCategoryTheory.AddMonObjCategoryTheory.MonObjCategoryTheory.MonObj