Theorems · Definition · category theory
CategoryTheory.Ind
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max u (v + 1))The category of Ind-objects of C.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.ObjectProperty.FullSubcategoryproof · cited by 726
- CategoryTheory.ShrinkHomsproof · cited by 34
- CategoryTheory.Limits.IsIndObjectproof · cited by 19
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.Ind.inclusionstatement · cited by 2
- CategoryTheory.Ind.yonedastatement · cited by 2
- CategoryTheory.Ind.isSeparating_range_yonedastatement and proof · cited by 1
- CategoryTheory.Ind.limstatement and proof · cited by 1
- CategoryTheory.Ind.presentationstatement and proof · cited by 1
- CategoryTheory.IndParallelPairPresentation.parallelPairIsoParallelPairCompIndYonedastatement and proof · cited by 1
- CategoryTheory.Ind.colimitPresentationCompYonedastatement and proof · cited by 1
- CategoryTheory.Ind.equivalencestatement · cited by 0
- CategoryTheory.Ind.exists_nonempty_arrow_mk_iso_ind_limstatement and proof · cited by 0
- CategoryTheory.Ind.isIndObject_inclusion_objstatement and proof · cited by 0
- CategoryTheory.Ind.isSeparator_range_yonedastatement · cited by 0
- CategoryTheory.Ind.leftExactFunctorEquivalencestatement · cited by 0