Theorems · Definition · category theory
CategoryTheory.Grothendieck.forget
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(F : CategoryTheory.Functor C CategoryTheory.Cat) → CategoryTheory.Functor (CategoryTheory.Grothendieck F) CThe forgetful functor from Grothendieck F to the source category.
- Defined in
- Mathlib.CategoryTheory.Grothendieck
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 16,252
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Grothendieckstatement and proof · cited by 138
- CategoryTheory.Grothendieck.baseproof · cited by 80
- CategoryTheory.Grothendieck.Hom.baseproof · cited by 39
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.isColimitCoconeFiberwiseColimitOfCoconeproof · cited by 2
- CategoryTheory.Limits.natTransIntoForgetCompFiberwiseColimitstatement · cited by 1
- CategoryTheory.Limits.natTransIntoForgetCompFiberwiseColimit_appstatement · cited by 0
- CategoryTheory.Grothendieck.forget_mapstatement and proof · cited by 0
- CategoryTheory.Grothendieck.forget_objstatement and proof · cited by 0
- CategoryTheory.Grothendieck.functorproof · cited by 0
- CategoryTheory.Grothendieck.functor_comp_forgetstatement · cited by 0