Theorems · Definition · category theory

CategoryTheory.Sheaf.terminal

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

A terminal object in A gives rise to a terminal object in Sheaf J

Defined in

Mathlib.CategoryTheory.Sites.Sheaf

Cited by

8 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category