Theorems · Inductive type · category theory
CategoryTheory.InitiallySmall
(J : Type u) → [CategoryTheory.Category.{v, u} J] → PropA category is InitiallySmall.{w} if there is an initial functor from a w-small category.
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by76
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.fiberMkstatement and proof · cited by 9
- CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.fiberstatement and proof · cited by 9
- CategoryTheory.GrothendieckTopology.Point.ofIsCofilteredstatement and proof · cited by 7
- PresheafOfModules.ModuleColimit.homEquivstatement and proof · cited by 6
- CategoryTheory.GrothendieckTopology.Point.toPresheafFiberOfIsCofilteredstatement and proof · cited by 5
- PresheafOfModules.ModuleColimit.mapstatement and proof · cited by 5
- CategoryTheory.GrothendieckTopology.Point.comapstatement and proof · cited by 3
- CategoryTheory.fromInitialModelstatement and proof · cited by 3
- CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.functorstatement and proof · cited by 3
- PresheafOfModules.ModuleColimit.map_applystatement and proof · cited by 3
- CategoryTheory.InitiallySmall.mk'statement · cited by 2
- CategoryTheory.initiallySmall_of_small_weakly_initial_setstatement · cited by 2