Theorems · Theorem · category theory

CategoryTheory.Presieve.isAmalgamation_sieveExtend

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.Functor Cᵒᵖ (Type w)} {X : C}
  {R : CategoryTheory.Presieve X} (x : CategoryTheory.Presieve.FamilyOfElements P R) (t : P.obj (Opposite.op X)),
  x.IsAmalgamation t → x.sieveExtend.IsAmalgamation t

Defined in

Mathlib.CategoryTheory.Sites.IsSheafFor

Cited by

4 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category