Theorems · Definition · algebraic geometry
AlgebraicGeometry.AffineTargetMorphismProperty.toProperty
AlgebraicGeometry.AffineTargetMorphismProperty → CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme
An AffineTargetMorphismProperty can be extended to a MorphismProperty such that it
never holds when the target is not affine
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 100 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.
- Quiver.Homproof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- AlgebraicGeometry.IsAffineproof · cited by 159
- AlgebraicGeometry.AffineTargetMorphismPropertystatement and proof · cited by 31
Cited by11
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.AffineTargetMorphismProperty.cancel_left_of_respectsIsostatement and proof · cited by 8
- AlgebraicGeometry.AffineTargetMorphismProperty.arrow_mk_iso_iffstatement and proof · cited by 4
- AlgebraicGeometry.AffineTargetMorphismProperty.toProperty_applystatement · cited by 3
- AlgebraicGeometry.AffineTargetMorphismProperty.IsStableUnderBaseChange.mkstatement and proof · cited by 2
- AlgebraicGeometry.affineAnd_respectsIsostatement and proof · cited by 2
- AlgebraicGeometry.affineAnd_isStableUnderBaseChangeproof · cited by 1
- AlgebraicGeometry.sourceAffineLocally_respectsIsostatement · cited by 1
- AlgebraicGeometry.AffineTargetMorphismProperty.respectsIso_mkstatement and proof · cited by 1
- AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.casesOnstatement and proof · cited by 0
- AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.recOnstatement and proof · cited by 0
- AlgebraicGeometry.AffineTargetMorphismProperty.cancel_right_of_respectsIsostatement and proof · cited by 0