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Theorems · Theorem · category theory

CategoryTheory.Limits.HasZeroObject.zero

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} [self : CategoryTheory.Limits.HasZeroObject C],
  ∃ X, CategoryTheory.Limits.IsZero X

there exists a zero object

Defined in
Mathlib.CategoryTheory.Limits.Shapes.ZeroObjects
Cited by
1 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
CategoryTheory.Limits.HasZeroObject
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Around this declaration

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

CategoryTheory.Limits.HasZeroObject.zero' · cited by 115HasZeroObject.zero'CategoryTheory.Limits.isZero_zero · cited by 34Limits.isZero_zeroCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObject · cited by 1298Limits.HasZeroObjectCategoryTheory.Limits.IsZero · cited by 306Limits.IsZeroHasZeroObject.zeroCITED BYCITES

Cites3

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Cited by2

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