Theorems · Definition · category theory
CategoryTheory.CountableCategory.ObjAsType
(α : Type u) → [inst : CategoryTheory.Category.{v, u} α] → [CategoryTheory.CountableCategory α] → TypeA countable category α is equivalent to a category with objects in Type.
- Defined in
- Mathlib.CategoryTheory.Countable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 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.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Equiv.symmproof · cited by 3,681
- equivShrinkproof · cited by 118
- CategoryTheory.InducedCategoryproof · cited by 71
- CategoryTheory.CountableCategorystatement and proof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.CountableCategory.objAsTypeEquivstatement · cited by 0
- CategoryTheory.CountableCategory.HomAsTypeproof · cited by 0
- CategoryTheory.CountableCategory.homAsTypeEquivproof · cited by 0