Theorems · Inductive type · category theory
CategoryTheory.WideSubcategory
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(_P : CategoryTheory.MorphismProperty C) → [_P.IsMultiplicative] → Type u₁Structure for wide subcategories. Objects ignore the morphism property.
- Defined in
- Mathlib.CategoryTheory.Widesubcategory
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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 · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.MorphismProperty.IsMultiplicativestatement · cited by 332
Cited by37
Results whose statement or proof uses this declaration.
- CategoryTheory.WideSubcategory.objstatement and proof · cited by 22
- CategoryTheory.WideSubcategory.isoMkstatement and proof · cited by 6
- CategoryTheory.wideSubcategoryInclusionstatement · cited by 2
- CategoryTheory.WideSubcategory.mk.injstatement · cited by 1
- CategoryTheory.WideSubcategory.extstatement and proof · cited by 1
- CategoryTheory.WideSubcategory.hom_extstatement and proof · cited by 1
- CategoryTheory.WideSubcategory.mk.noConfusionstatement · cited by 1
- CategoryTheory.WideSubcategory.recOnstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.rightUnitor_defstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.tensorHom_homstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.tensorObj_objstatement and proof · cited by 0
- CategoryTheory.WideSubcategory.tensorUnit_objstatement and proof · cited by 0