Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.covering_of_eq_top

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X : C} {S : CategoryTheory.Sieve X}
  (J : CategoryTheory.GrothendieckTopology C), S = ⊤ → S ∈ J X

Defined in

Mathlib.CategoryTheory.Sites.Grothendieck

Cited by

2 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category