Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasAffineProperty.eq_targetAffineLocally
∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme) {Q : AlgebraicGeometry.AffineTargetMorphismProperty}
[AlgebraicGeometry.HasAffineProperty P Q], P = AlgebraicGeometry.targetAffineLocally Q- Cited by
- 10 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.AffineTargetMorphismPropertystatement and proof · cited by 31
- AlgebraicGeometry.HasAffinePropertystatement and proof · cited by 30
- AlgebraicGeometry.targetAffineLocallystatement · cited by 12
- AlgebraicGeometry.HasAffineProperty.eq_targetAffineLocally'proof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasAffineProperty.of_iSup_eq_topproof · cited by 3
- AlgebraicGeometry.HasAffineProperty.of_isPullbackproof · cited by 3
- AlgebraicGeometry.isAffineHom_diagonal_iffproof · cited by 1
- AlgebraicGeometry.isClosedImmersion_iff_isAffineHomproof · cited by 1
- AlgebraicGeometry.HasAffineProperty.affineAnd_containsIdentitiesproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.affineAnd_eq_of_propertyIsLocalproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.affineAnd_iffproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.copyproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.affineAnd_le_affineAndproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.coprodDesc_affineAndproof · cited by 0