Theorems · Definition · category theory
CategoryTheory.ShrinkHoms
Type u → Type u
We define a type alias ShrinkHoms C for C. When we have LocallySmall.{w} C,
we'll put a Category.{w} instance on ShrinkHoms C.
- Defined in
- Mathlib.CategoryTheory.EssentiallySmall
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by45
Results whose statement or proof uses this declaration.
- CategoryTheory.ShrinkHoms.equivalencestatement and proof · cited by 26
- CategoryTheory.ShrinkHoms.fromShrinkHomsstatement and proof · cited by 8
- CategoryTheory.ShrinkHoms.inversestatement and proof · cited by 6
- CategoryTheory.IsCardinalFiltered.coconeproof · cited by 5
- CategoryTheory.ShrinkHoms.functorstatement · cited by 5
- CategoryTheory.Indproof · cited by 4
- CategoryTheory.ShrinkHoms.toShrinkHomsstatement · cited by 3
- CategoryTheory.ShrinkHoms.equivalence_inversestatement · cited by 2
- CategoryTheory.Limits.hasFilteredColimitsOfSize_of_univLEproof · cited by 2
- CategoryTheory.ShrinkHoms.inverse_objstatement and proof · cited by 2
- CategoryTheory.isCardinalPresentable_of_isColimitproof · cited by 2
- CategoryTheory.Limits.hasCofilteredLimitsOfSize_of_univLEproof · cited by 2