Theorems · Theorem · category theory
CategoryTheory.locallySmall_of_small_arrow
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [Small.{w, max u v} (CategoryTheory.Arrow C)],
CategoryTheory.LocallySmall.{w, v, u} C- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.CategorySmall
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.mkproof · cited by 421
- Smallstatement and proof · cited by 369
- CategoryTheory.Arrow.homproof · cited by 335
- CategoryTheory.LocallySmallstatement · cited by 242
- small_of_injectiveproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsCardinalFiltered.coconeproof · cited by 5