Theorems · Definition · category theory
CategoryTheory.CountableCategory.objAsTypeEquiv
(α : Type u) →
[inst : CategoryTheory.Category.{v, u} α] →
[inst_1 : CategoryTheory.CountableCategory α] → CategoryTheory.CountableCategory.ObjAsType α ≌ αThe constructed category is indeed equivalent to α.
- Defined in
- Mathlib.CategoryTheory.Countable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- CategoryTheory.Equivalencestatement · cited by 601
- Shrinkstatement · cited by 132
- equivShrinkstatement and proof · cited by 118
- CategoryTheory.Functor.asEquivalenceproof · cited by 58
- CategoryTheory.inducedFunctorproof · cited by 14
- CategoryTheory.CountableCategorystatement and proof · cited by 2
- CategoryTheory.CountableCategory.ObjAsTypestatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.CountableCategory.homAsTypeEquivproof · cited by 0