Theorems · Definition · category theory

CategoryTheory.IsRingHom.recOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      {R₁ R₂ : C} →
        [inst_2 : CategoryTheory.AddMonObj R₁] →
          [inst_3 : CategoryTheory.AddMonObj R₂] →
            [inst_4 : CategoryTheory.MonObj R₁] →
              [inst_5 : CategoryTheory.MonObj R₂] →
                {f : R₁ ⟶ R₂} →
                  {motive : CategoryTheory.IsRingHom f → Sort u_1} →
                    (t : CategoryTheory.IsRingHom f) →
                      ([toIsAddMonHom : CategoryTheory.IsAddMonHom f] →
                          [toIsMonHom : CategoryTheory.IsMonHom f] → motive ⋯) →
                        motive t

Defined in

Mathlib.CategoryTheory.Monoidal.Ring

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

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