Theorems · Theorem · category theory
CategoryTheory.finallySmall_of_essentiallySmall
∀ (J : Type u) [inst : CategoryTheory.Category.{v, u} J] [CategoryTheory.EssentiallySmall.{w, v, u} J],
CategoryTheory.FinallySmall J- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.EssentiallySmallstatement and proof · cited by 42
- CategoryTheory.equivSmallModelproof · cited by 20
- CategoryTheory.FinallySmallstatement · cited by 16
- CategoryTheory.FinallySmall.mk'proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.finallySmall_of_final_of_essentiallySmallproof · cited by 1
- CategoryTheory.Limits.isIndObject_iff_preservesFiniteLimitsproof · cited by 0