Theorems · Theorem · category theory

CategoryTheory.Presieve.isSheaf_comp_uliftFunctor_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.Functor Cᵒᵖ (Type w)}
  (J : CategoryTheory.GrothendieckTopology C),
  CategoryTheory.Presieve.IsSheaf J (P.comp CategoryTheory.uliftFunctor.{w', w}) ↔ CategoryTheory.Presieve.IsSheaf J P

A presheaf is a sheaf after composing with a universe lift if and only if it is a sheaf.

Defined in

Mathlib.CategoryTheory.Sites.SheafOfTypes

Cited by

3 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category