Theorems · Definition · category theory
TopCat.Presheaf.SheafCondition.OpensLeCover
{X : TopCat} → {ι : Type u_2} → (ι → TopologicalSpace.Opens ↑X) → Type wThe category of open sets contained in some element of the cover.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement and proof · cited by 3,184
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.ObjectProperty.FullSubcategoryproof · cited by 726
Cited by30
Results whose statement or proof uses this declaration.
- TopCat.Presheaf.generateEquivalenceOpensLe_inverse'statement and proof · cited by 7
- TopCat.Presheaf.generateEquivalenceOpensLestatement · cited by 6
- TopCat.Presheaf.generateEquivalenceOpensLe_functor'statement · cited by 5
- Alexandrov.projSupstatement · cited by 3
- TopCat.Presheaf.SheafCondition.opensLeCoverCoconeproof · cited by 3
- TopCat.Presheaf.whiskerIsoMapGenerateCoconestatement · cited by 2
- TopCat.Presheaf.SheafCondition.pairwiseToOpensLeCoverstatement · cited by 2
- TopCat.Presheaf.SheafCondition.pairwiseToOpensLeCoverObjstatement and proof · cited by 2
- TopCat.Presheaf.SheafCondition.pairwiseToOpensLeCoverMapstatement · cited by 1
- TopCat.Presheaf.SheafCondition.OpensLeCover.homToIndexstatement and proof · cited by 0
- TopCat.Presheaf.SheafCondition.OpensLeCover.indexstatement and proof · cited by 0
- TopCat.Presheaf.generateEquivalenceOpensLe_counitIsostatement · cited by 0