Theorems · Definition · category theory
CategoryTheory.Skeleton
(C : Type u₁) → [CategoryTheory.Category.{v₁, u₁} C] → Type u₁Construct the skeleton category as the induced category on the isomorphism classes, and derive its category structure.
- Defined in
- Mathlib.CategoryTheory.Skeletal
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quotient.outproof · cited by 141
- CategoryTheory.InducedCategoryproof · cited by 71
Cited by51
Results whose statement or proof uses this declaration.
- CommRing.Picproof · cited by 37
- CommRing.Pic.mkproof · cited by 17
- CommRing.Pic.AsModuleproof · cited by 11
- CategoryTheory.toSkeletonstatement · cited by 10
- CategoryTheory.fromSkeletonstatement · cited by 10
- CategoryTheory.skeletonEquivalencestatement and proof · cited by 6
- CategoryTheory.toSkeletonFunctorstatement · cited by 5
- CommRing.Pic.mk_eq_iffstatement and proof · cited by 5
- CommRing.Pic.mk_eq_selfstatement · cited by 5
- CategoryTheory.skeleton_skeletalstatement and proof · cited by 3
- CommRing.Pic.mk.linearEquivstatement · cited by 3
- CategoryTheory.Functor.mapSkeletonstatement · cited by 3