Theorems · Theorem · category theory
CategoryTheory.Functor.mapSkeleton_injective
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D) [F.Full] [F.Faithful], Function.Injective F.mapSkeleton.obj- Defined in
- Mathlib.CategoryTheory.Skeletal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.Fullstatement and proof · cited by 341
- CategoryTheory.Functor.Faithfulstatement and proof · cited by 313
- CategoryTheory.eqToIsoproof · cited by 97
- CategoryTheory.Skeletonstatement and proof · cited by 35
- CategoryTheory.Functor.preimageIsoproof · cited by 14
- CategoryTheory.skeleton_skeletalproof · cited by 3
- CategoryTheory.Functor.mapSkeletonstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.essentiallySmall_of_fully_faithfulproof · cited by 2