Theorems · Theorem · algebraic geometry
AlgebraicGeometry.AffineTargetMorphismProperty.toProperty_apply
∀ (P : AlgebraicGeometry.AffineTargetMorphismProperty) {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y)
[i : AlgebraicGeometry.IsAffine Y], P.toProperty f ↔ P f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsAffine
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.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.IsAffinestatement and proof · cited by 159
- AlgebraicGeometry.AffineTargetMorphismPropertystatement and proof · cited by 31
- AlgebraicGeometry.AffineTargetMorphismProperty.toPropertystatement · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.AffineTargetMorphismProperty.arrow_mk_iso_iffproof · cited by 4