Theorems · Theorem · category theory

CategoryTheory.Sheaf.isConstant_congr

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (J : CategoryTheory.GrothendieckTopology C)
  {D : Type u_2} [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.HasWeakSheafify J D]
  {F G : CategoryTheory.Sheaf J D} (i : F ≅ G) [CategoryTheory.Sheaf.IsConstant J F],
  CategoryTheory.Sheaf.IsConstant J G

Defined in

Mathlib.CategoryTheory.Sites.ConstantSheaf

Cited by

0 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.Sheaf.IsConstant