Theorems · Definition · algebraic geometry
CategoryTheory.MorphismProperty.precoverage
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → CategoryTheory.MorphismProperty C → CategoryTheory.Precoverage CThis is the precoverage on C where covering presieves are those where every
morphism satisfies P.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- Set.ofPredproof · cited by 6,101
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Precoveragestatement · cited by 204
Cited by27
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.precoverageproof · cited by 336
- CategoryTheory.MorphismProperty.pretopologyproof · cited by 8
- AlgebraicGeometry.Scheme.precoverage_monoproof · cited by 7
- CategoryTheory.Precoverage.galoisConnection_morphismProperty_precoveragestatement · cited by 5
- TopCat.precoverageproof · cited by 3
- CategoryTheory.MorphismProperty.toGrothendieck_comap_forget_eq_restrictedTopologystatement and proof · cited by 2
- CategoryTheory.MorphismProperty.coverageproof · cited by 2
- CategoryTheory.MorphismProperty.precoverage_monotonestatement and proof · cited by 2
- CategoryTheory.MorphismProperty.exists_map_eq_of_presievestatement and proof · cited by 2
- CategoryTheory.MorphismProperty.locallyCoverDense_forget_of_lestatement and proof · cited by 2
- AlgebraicGeometry.Scheme.proetalePrecoverage_le_precoverage_weaklyEtalestatement · cited by 1
- CategoryTheory.MorphismProperty.bot_mem_precoveragestatement · cited by 1