Theorems · Definition · category theory
CategoryTheory.MorphismProperty.IsStableUnderProductsOfShape
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.MorphismProperty C → Type u_1 → PropThe property that a morphism property W is stable under products indexed by a type J.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- 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.Discreteproof · cited by 2,447
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsStableUnderLimitsOfShapeproof · cited by 4
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.HasProductsOfShapeAux.adjstatement and proof · cited by 2
- CategoryTheory.Localization.HasProductsOfShapeAux.compLimitFunctorIsostatement and proof · cited by 1
- CategoryTheory.Localization.HasProductsOfShapeAux.isLimitMapConestatement and proof · cited by 1
- CategoryTheory.Localization.HasProductsOfShapeAux.limitFunctorstatement and proof · cited by 1
- CategoryTheory.Localization.preservesProductsOfShapestatement and proof · cited by 1
- CategoryTheory.Localization.hasProductsOfShapestatement and proof · cited by 1
- CategoryTheory.MorphismProperty.IsStableUnderProductsOfShape.mkstatement · cited by 0
- CategoryTheory.Localization.HasProductsOfShapeAux.adj_counit_appstatement and proof · cited by 0
- CategoryTheory.Localization.HasProductsOfShapeAux.invertsstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.IsStableUnderFiniteProducts.casesOnstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.IsStableUnderFiniteProducts.recOnstatement and proof · cited by 0