Theorems · Definition · category theory

CategoryTheory.NonPreadditiveAbelian.casesOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.NonPreadditiveAbelian C → Sort u_1} →
      (t : CategoryTheory.NonPreadditiveAbelian C) →
        ([toHasZeroMorphisms : CategoryTheory.Limits.HasZeroMorphisms C] →
            [toIsNormalMonoCategory : CategoryTheory.IsNormalMonoCategory C] →
              [toIsNormalEpiCategory : CategoryTheory.IsNormalEpiCategory C] →
                [has_zero_object : CategoryTheory.Limits.HasZeroObject C] →
                  [has_kernels : CategoryTheory.Limits.HasKernels C] →
                    [has_cokernels : CategoryTheory.Limits.HasCokernels C] →
                      [has_finite_products : CategoryTheory.Limits.HasFiniteProducts C] →
                        [has_finite_coproducts : CategoryTheory.Limits.HasFiniteCoproducts C] →
                          motive
                            { toHasZeroMorphisms := toHasZeroMorphisms,
                              toIsNormalMonoCategory := toIsNormalMonoCategory,
                              toIsNormalEpiCategory := toIsNormalEpiCategory, has_zero_object := has_zero_object,
                              has_kernels := has_kernels, has_cokernels := has_cokernels,
                              has_finite_products := has_finite_products,
                              has_finite_coproducts := has_finite_coproducts }) →
          motive t

Defined in

Mathlib.CategoryTheory.Abelian.NonPreadditive

Cited by

0 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.Category