Theorems · Inductive type · category theory
CategoryTheory.FinallySmall
(J : Type u) → [CategoryTheory.Category.{v, u} J] → PropA category is FinallySmall.{w} if there is a final functor from a w-small category.
- Cited by
- 16 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 by22
Results whose statement or proof uses this declaration.
- CategoryTheory.fromFinalModelstatement and proof · cited by 5
- CategoryTheory.FinalModelstatement and proof · cited by 3
- CategoryTheory.FinallySmall.mk'statement · cited by 3
- CategoryTheory.FinallySmall.exists_small_weakly_terminal_setstatement and proof · cited by 2
- CategoryTheory.FinallySmall.fromFilteredFinalModelstatement and proof · cited by 2
- CategoryTheory.Limits.hasColimitsOfShape_of_finallySmallstatement and proof · cited by 2
- CategoryTheory.Limits.isIndObject_iffstatement and proof · cited by 2
- CategoryTheory.finallySmall_of_essentiallySmallstatement · cited by 2
- CategoryTheory.finallySmall_of_final_of_finallySmallstatement and proof · cited by 2
- CategoryTheory.finallySmall_of_small_weakly_terminal_setstatement · cited by 2
- CategoryTheory.Limits.isIndObject_of_isFiltered_of_finallySmallstatement and proof · cited by 1
- CategoryTheory.Limits.IsIndObject.finallySmallstatement · cited by 1