Theorems · Theorem · category theory
CategoryTheory.FinallySmall.final_smallCategory
∀ {J : Type u} {inst : CategoryTheory.Category.{v, u} J} [self : CategoryTheory.FinallySmall J], ∃ S x F, F.FinalThere is a final functor from a small category.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.FinallySmall
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Functorstatement · cited by 16,252
- CategoryTheory.SmallCategorystatement · cited by 480
- CategoryTheory.Functor.Finalstatement · cited by 112
- CategoryTheory.FinallySmallstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.FinalModelproof · cited by 3