Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.isPrestackFor_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  (F : CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete Cᵒᵖ) CategoryTheory.Cat) {S : C}
  (R : CategoryTheory.Presieve S), F.IsPrestackFor R ↔ Nonempty (F.toDescentData fun f => f.obj.hom).FullyFaithful

Defined in

Mathlib.CategoryTheory.Sites.Descent.DescentData

Cited by

2 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category