Theorems · Definition · category theory

CategoryTheory.Sheaf.homEquiv

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {A : Type u₂} →
        [inst_1 : CategoryTheory.Category.{v₂, u₂} A] → {X Y : CategoryTheory.Sheaf J A} → (X ⟶ Y) ≃ (X.obj ⟶ Y.obj)

The bijection (X ⟶ Y) ≃ (X.val ⟶ Y.val) when X and Y are sheaves.

Defined in

Mathlib.CategoryTheory.Sites.Sheaf

Cited by

2 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category