Theorems · Definition · category theory
CategoryTheory.SmallModel
(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.EssentiallySmall.{w, v, u} C] → Type wAn arbitrarily chosen small model for an essentially small category.
- Defined in
- Mathlib.CategoryTheory.EssentiallySmall
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.EssentiallySmallstatement and proof · cited by 42
- CategoryTheory.EssentiallySmall.equiv_smallCategoryproof · cited by 1
Cited by23
Results whose statement or proof uses this declaration.
- CategoryTheory.equivSmallModelstatement · cited by 20
- CategoryTheory.IsCardinalFilteredGenerator.of_isDenseproof · cited by 1
- CategoryTheory.ObjectProperty.of_essentiallySmall_indexproof · cited by 1
- CategoryTheory.hasSheafifyEssentiallySmallSitestatement · cited by 1
- CategoryTheory.FinallySmall.exists_of_isFilteredproof · cited by 1
- CategoryTheory.IsFiltered.SmallFilteredIntermediateproof · cited by 1
- CategoryTheory.Limits.HasColimitsOfShape.of_essentiallySmallproof · cited by 0
- CategoryTheory.smallSheafificationAdjunctionstatement · cited by 0
- CategoryTheory.smallSheafifystatement · cited by 0
- CategoryTheory.hasLimitsEssentiallySmallSitestatement · cited by 0