Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.mem_jointlySurjectiveTopology_iff_jointlySurjectivePretopology
∀ {X : AlgebraicGeometry.Scheme} {s : CategoryTheory.Sieve X},
s ∈ AlgebraicGeometry.Scheme.jointlySurjectiveTopology X ↔
s.arrows ∈ AlgebraicGeometry.Scheme.jointlySurjectivePretopology.coverings X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Sievestatement and proof · cited by 552
- CategoryTheory.Presievestatement · cited by 449
- CategoryTheory.Sieve.arrowsstatement · cited by 446
- CategoryTheory.Precoverage.coveringsstatement · cited by 194
- CategoryTheory.Pretopology.toPrecoveragestatement · cited by 34
- AlgebraicGeometry.Scheme.jointlySurjectivePretopologystatement · cited by 4
- AlgebraicGeometry.Scheme.jointlySurjectiveTopologystatement · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.