Theorems · Inductive type · category theory
CategoryTheory.IsSkeletonOf
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(D : Type u₂) → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor D C → PropIsSkeletonOf C D F says that F : D ⥤ C exhibits D as a skeletal full subcategory of C,
in particular F is a (strong) equivalence and D is skeletal.
- Defined in
- Mathlib.CategoryTheory.Skeletal
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
Cited by8
Results whose statement or proof uses this declaration.
- SimplexCategory.isSkeletonOfstatement · cited by 0
- CategoryTheory.skeleton_isSkeletonstatement · cited by 0
- CategoryTheory.IsSkeletonOf.casesOnstatement and proof · cited by 0
- CategoryTheory.IsSkeletonOf.eqvstatement and proof · cited by 0
- CategoryTheory.IsSkeletonOf.recOnstatement and proof · cited by 0
- CategoryTheory.IsSkeletonOf.skelstatement and proof · cited by 0
- CategoryTheory.ThinSkeleton.thinSkeleton_isSkeletonstatement · cited by 0
- FintypeCat.isSkeletonstatement · cited by 0