Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.bot_mem_grothendieckTopology
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} (X : AlgebraicGeometry.Scheme) [IsEmpty ↥X],
⊥ ∈ (AlgebraicGeometry.Scheme.grothendieckTopology P) X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsEmpty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Bot.botstatement · cited by 4,720
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
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