Mathlib Map

Theorems · Definition · category theory

CategoryTheory.SmallCategoryOfSet.obj

{Ω : Type w} → CategoryTheory.SmallCategoryOfSet Ω → Set Ω

objects

Defined in
Mathlib.CategoryTheory.SmallRepresentatives
Cited by
10 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.SmallCategoryOfSet.hom · cited by 6SmallCategoryOfSet.homCategoryTheory.SmallCategoryCardinalLT.categoryFamily · cited by 5SmallCategoryCardinalLT.c…CategoryTheory.SmallCategoryOfSet.comp · cited by 5SmallCategoryOfSet.compCategoryTheory.SmallCategoryOfSet.id · cited by 4SmallCategoryOfSet.idCategoryTheory.SmallCategoryCardinalLT · cited by 4CategoryTheory.SmallCateg…CategoryTheory.CoreSmallCategoryOfSet.equivalence · cited by 2CoreSmallCategoryOfSet.eq…CategoryTheory.CoreSmallCategoryOfSet.functor · cited by 2CoreSmallCategoryOfSet.fu…CategoryTheory.CoreSmallCategoryOfSet.arrowEquiv · cited by 1CoreSmallCategoryOfSet.ar…CategoryTheory.SmallCategoryCardinalLT.exists_equivalence · cited by 1SmallCategoryCardinalLT.e…CategoryTheory.SmallCategoryCardinalLT.hasCardinalLT · cited by 1SmallCategoryCardinalLT.h…CategoryTheory.SmallCategoryOfSet.categoryFamily · cited by 1SmallCategoryOfSet.catego…CategoryTheory.CoreSmallCategoryOfSet.fullyFaithfulFunctor · cited by 0CoreSmallCategoryOfSet.fu…CategoryTheory.CoreSmallCategoryOfSet.functor_map · cited by 0CoreSmallCategoryOfSet.fu…CategoryTheory.SmallCategoryOfSet.assoc · cited by 0SmallCategoryOfSet.assocCategoryTheory.CoreSmallCategoryOfSet.functor_obj · cited by 0CoreSmallCategoryOfSet.fu…Set · cited by 53352SetCategoryTheory.SmallCategoryOfSet · cited by 11CategoryTheory.SmallCateg…SmallCategoryOfSet.objCITED BYCITES

Cites2

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

Cited by20

Results whose statement or proof uses this declaration.