Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Cover.map_prop
∀ {X : AlgebraicGeometry.Scheme} {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme}
(𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) X) (i : 𝒰.I₀), P (𝒰.f i)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.PreZeroHypercover.I₀statement and proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xstatement and proof · cited by 649
- CategoryTheory.PreZeroHypercover.fstatement and proof · cited by 542
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement and proof · cited by 336
- AlgebraicGeometry.Scheme.Coverstatement and proof · cited by 88
- CategoryTheory.Precoverage.ZeroHypercover.mem₀proof · cited by 26
Cited by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.precoverage_le_qcPrecoverage_of_isOpenMapproof · cited by 3
- AlgebraicGeometry.Scheme.locallyCoverDense_of_leproof · cited by 1
- AlgebraicGeometry.QuasiCompactCover.exists_homproof · cited by 1
- AlgebraicGeometry.isSheaf_type_propQCTopology_iffproof · cited by 1
- AlgebraicGeometry.Scheme.mem_toGrothendieck_smallPretopologyproof · cited by 0