Mathlib Map

Theorems · Definition · category theory

CategoryTheory.PreZeroHypercover.singleton

{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → {S T : C} → (S ⟶ T) → CategoryTheory.PreZeroHypercover T

The pre-0-hypercover defined by a single morphism.

Defined in
Mathlib.CategoryTheory.Sites.Hypercover.Zero
Cited by
17 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.Category

Around this declaration

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

CategoryTheory.PreOneHypercover.trivial · cited by 8PreOneHypercover.trivialCategoryTheory.PreZeroHypercover.add · cited by 8PreZeroHypercover.addCategoryTheory.PreZeroHypercover.pushforwardIsoBind · cited by 5PreZeroHypercover.pushfor…CategoryTheory.PreZeroHypercover.presieve₀_singleton · cited by 4PreZeroHypercover.presiev…CategoryTheory.Precoverage.ZeroHypercover.singleton · cited by 2ZeroHypercover.singletonCategoryTheory.PreOneHypercover.trivial_toPreZeroHypercover · cited by 1PreOneHypercover.trivial_…CategoryTheory.Precoverage.ZeroHypercover.singleton_toPreZeroHypercover · cited by 1ZeroHypercover.singleton_…CategoryTheory.PreZeroHypercover.presieve₀_add · cited by 0PreZeroHypercover.presiev…CategoryTheory.PreOneHypercover.trivial_I₁ · cited by 0PreOneHypercover.trivial_…CategoryTheory.PreOneHypercover.trivial_Y · cited by 0PreOneHypercover.trivial_YCategoryTheory.PreOneHypercover.trivial_p₁ · cited by 0PreOneHypercover.trivial_…CategoryTheory.PreOneHypercover.trivial_p₂ · cited by 0PreOneHypercover.trivial_…CategoryTheory.PreZeroHypercover.singleton_I₀ · cited by 0PreZeroHypercover.singlet…CategoryTheory.PreZeroHypercover.singleton_X · cited by 0PreZeroHypercover.singlet…CategoryTheory.PreZeroHypercover.singleton_f · cited by 0PreZeroHypercover.singlet…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.PreZeroHypercover · cited by 256CategoryTheory.PreZeroHyp…PreZeroHypercover.singletonCITED BYCITES

Cites3

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

Cited by21

Results whose statement or proof uses this declaration.