Theorems · Definition · category theory

CategoryTheory.Sieve.overEquiv

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X : C} → (Y : CategoryTheory.Over X) → CategoryTheory.Sieve Y ≃o CategoryTheory.Sieve Y.left

The equivalence Sieve Y ≃ Sieve Y.left for all Y : Over X.

Defined in

Mathlib.CategoryTheory.Sites.Over

Cited by

28 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category