Theorems · Theorem · category theory
CategoryTheory.finallySmall_of_final_of_finallySmall
∀ {J : Type u} [inst : CategoryTheory.Category.{v, u} J] {K : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} K]
[CategoryTheory.FinallySmall K] (F : CategoryTheory.Functor K J) [F.Final], CategoryTheory.FinallySmall J- Cited by
- 2 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Functor.Finalstatement and proof · cited by 112
- CategoryTheory.FinallySmallstatement and proof · cited by 16
- CategoryTheory.fromFinalModelproof · cited by 5
- CategoryTheory.FinallySmall.mk'proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.FinallySmall.exists_of_isFilteredproof · cited by 1
- CategoryTheory.finallySmall_of_final_of_essentiallySmallproof · cited by 1