CategoryTheory.Sieve

{C : Type u₁} → [CategoryTheory.Category.{v₁, u₁} C] → C → Type (max u₁ v₁)

For an object X of a category C, a Sieve X is a predicate on morphisms to X which is closed under left-composition.

Defined in: Mathlib.CategoryTheory.Sites.Sieves
Cited by: 552 results in Mathlib
Foundations: Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Assumes: CategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 719.