Theorems · Theorem · category theory
CategoryTheory.Pseudofunctor.Grothendieck.map_comp_forget
∀ {𝒮 : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} 𝒮]
{F G : CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete 𝒮) CategoryTheory.Cat} (α : F ⟶ G),
(CategoryTheory.Pseudofunctor.Grothendieck.map α).comp (CategoryTheory.Pseudofunctor.Grothendieck.forget G) =
CategoryTheory.Pseudofunctor.Grothendieck.forget F- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites11
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Pseudofunctorstatement and proof · cited by 571
- CategoryTheory.LocallyDiscretestatement and proof · cited by 318
- CategoryTheory.Pseudofunctor.StrongTrans.categoryStructstatement · cited by 112
- CategoryTheory.Pseudofunctor.Grothendieckstatement · cited by 25
- CategoryTheory.Pseudofunctor.Grothendieck.mapstatement · cited by 8
- CategoryTheory.Pseudofunctor.Grothendieck.forgetstatement · cited by 3
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