Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isProper_eq
@AlgebraicGeometry.IsProper = @AlgebraicGeometry.IsSeparated ⊓ @AlgebraicGeometry.UniversallyClosed ⊓ @AlgebraicGeometry.LocallyOfFiniteType
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- AlgebraicGeometry.LocallyOfFiniteTypestatement and proof · cited by 59
- AlgebraicGeometry.IsSeparatedstatement and proof · cited by 31
- AlgebraicGeometry.UniversallyClosedstatement and proof · cited by 24
- AlgebraicGeometry.IsProperstatement · cited by 17
- AlgebraicGeometry.isProper_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsProper.eq_valuativeCriterionproof · cited by 1
- AlgebraicGeometry.IsFinite.eq_isProper_inf_isAffineHomproof · cited by 1