Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasAffineProperty.isLocal_affineProperty
∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme)
{Q : outParam AlgebraicGeometry.AffineTargetMorphismProperty} [self : AlgebraicGeometry.HasAffineProperty P Q],
Q.IsLocal- Cited by
- 10 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.AffineTargetMorphismProperty.IsLocalstatement · cited by 17
Cited by10
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasAffineProperty.iff_of_isAffineproof · cited by 21
- AlgebraicGeometry.HasAffineProperty.isStableUnderBaseChangeproof · cited by 3
- AlgebraicGeometry.HasAffineProperty.of_iSup_eq_topproof · cited by 3
- AlgebraicGeometry.HasAffineProperty.diagonal_of_openCoverproof · cited by 2
- AlgebraicGeometry.HasAffineProperty.diagonal_of_diagonal_of_isPullbackproof · cited by 1
- AlgebraicGeometry.HasAffineProperty.iff_of_openCoverproof · cited by 1
- AlgebraicGeometry.HasRingHomProperty.isStableUnderBaseChangeproof · cited by 1
- AlgebraicGeometry.HasAffineProperty.diagonal_iffproof · cited by 1
- AlgebraicGeometry.Scheme.quasiSeparatedSpace_of_isOpenCoverproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.copyproof · cited by 0