Mathlib Map

Theorems · Definition · category theory

CategoryTheory.NonPreadditiveAbelian.preadditive

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.NonPreadditiveAbelian C] → CategoryTheory.Preadditive C

Every NonPreadditiveAbelian category is preadditive.

Defined in
Mathlib.CategoryTheory.Abelian.NonPreadditive
Cited by
0 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.NonPreadditiveAbelian
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.NonPreadditiveAbelian.abelian · cited by 0NonPreadditiveAbelian.abe…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveCategoryTheory.NonPreadditiveAbelian · cited by 29CategoryTheory.NonPreaddi…CategoryTheory.NonPreadditiveAbelian.add_comm · cited by 1NonPreadditiveAbelian.add…CategoryTheory.NonPreadditiveAbelian.comp_add · cited by 0NonPreadditiveAbelian.com…CategoryTheory.NonPreadditiveAbelian.add_comp · cited by 0NonPreadditiveAbelian.add…NonPreadditiveAbelian.preaddi…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.