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Theorems · Inductive type · category theory

CategoryTheory.AB4StarOfSize

(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Limits.HasProducts C] → Prop

A category C which has products is said to have AB4Star (in literature AB4\*) provided that products are exact.

Defined in
Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Basic
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasProducts
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Around this declaration

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

CategoryTheory.AB4Star.of_AB5Star · cited by 0AB4Star.of_AB5StarCategoryTheory.AB4StarOfSize.casesOn · cited by 0AB4StarOfSize.casesOnCategoryTheory.AB4StarOfSize.recOn · cited by 0AB4StarOfSize.recOnCategoryTheory.AB4Star · cited by 0CategoryTheory.AB4StarCategoryTheory.AB4StarOfSize_shrink · cited by 0CategoryTheory.AB4StarOfS…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.HasProducts · cited by 103Limits.HasProductsCategoryTheory.AB4StarOfSizeCITED BYCITES

Cites2

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Cited by5

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