Theorems · Inductive type · category theory
CategoryTheory.Precoverage.Small
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Precoverage C → PropA precoverage is w-small, if every 0-hypercover is w-small.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Precoveragestatement · cited by 204
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.isSheaf_toGrothendieck_iff_of_isStableUnderBaseChange_of_smallstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.IsLocalAtSource.mk_of_smallstatement and proof · cited by 1
- CategoryTheory.Precoverage.Small.zeroHypercoverSmallstatement and proof · cited by 0
- CategoryTheory.Precoverage.Small.casesOnstatement and proof · cited by 0
- CategoryTheory.Precoverage.Small.infstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.IsLocalAtTarget.mk_of_smallstatement and proof · cited by 0
- CategoryTheory.Precoverage.Small.recOnstatement and proof · cited by 0