Theorems · Theorem · category theory

CategoryTheory.Sieve.overEquiv_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X : C} {Y : CategoryTheory.Over X}
  (S : CategoryTheory.Sieve Y) {Z : C} (f : Z ⟶ Y.left),
  ((CategoryTheory.Sieve.overEquiv Y) S).arrows f ↔ S.arrows (CategoryTheory.Over.homMk f ⋯)

Defined in

Mathlib.CategoryTheory.Sites.Over

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category