Theorems · Definition · category theory
CategoryTheory.inducedFunctor
{C : Type u₁} →
{D : Type u₂} →
[inst : CategoryTheory.Category.{v, u₂} D] →
(F : C → D) → CategoryTheory.Functor (CategoryTheory.InducedCategory D F) DThe forgetful functor from an induced category to the original category, forgetting the extra data.
- Defined in
- Mathlib.CategoryTheory.InducedCategory
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.InducedCategorystatement and proof · cited by 71
Cited by34
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.ιproof · cited by 95
- CategoryTheory.Grp.forget₂Monproof · cited by 32
- AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpaceproof · cited by 24
- CategoryTheory.CommMon.forget₂Monproof · cited by 22
- CategoryTheory.AddGrp.forget₂Monproof · cited by 20
- CategoryTheory.CommGrp.forget₂Grpproof · cited by 19
- CompHausLike.compHausLikeToTopproof · cited by 10
- CategoryTheory.fromSkeletonproof · cited by 10
- CategoryTheory.Equivalence.inducedproof · cited by 5
- TopCat.Sheaf.restrictHomEquivHomstatement · cited by 4
- CategoryTheory.LaxBraidedFunctor.forgetproof · cited by 4
- AlgebraicGeometry.LocallyRingedSpace.toΓSpecCBasicOpensstatement · cited by 3