Theorems · Theorem · category theory

CategoryTheory.zero_not_simple

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] [CategoryTheory.Simple 0], False

We don't want the definition of 'simple' to include the zero object, so we check that here.

Defined in

Mathlib.CategoryTheory.Simple

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectCategoryTheory.Simple