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Theorems · Definition · category theory

CategoryTheory.Limits.IsZero.isTerminal

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X : C} → CategoryTheory.Limits.IsZero X → CategoryTheory.Limits.IsTerminal X

A zero object is in particular terminal.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.ZeroObjects
Cited by
0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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

CategoryTheory.Limits.HasZeroObject.zeroIsTerminal · cited by 4HasZeroObject.zeroIsTermi…AddCommGrpCat.cartesianMonoidalCategory · cited by 2AddCommGrpCat.cartesianMo…CategoryTheory.Limits.IsZero.isoIsTerminal · cited by 0IsZero.isoIsTerminalCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.IsZero · cited by 306Limits.IsZeroCategoryTheory.Limits.IsTerminal · cited by 153Limits.IsTerminalCategoryTheory.Limits.IsTerminal.ofUnique · cited by 0IsTerminal.ofUniqueIsZero.isTerminalCITED BYCITES

Cites4

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Cited by3

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