Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsFinite.eq_isProper_inf_isAffineHom
@AlgebraicGeometry.IsFinite = @AlgebraicGeometry.IsProper ⊓ @AlgebraicGeometry.IsAffineHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 and proof · cited by 2,179
- inf_commproof · cited by 139
- AlgebraicGeometry.IsAffineHomstatement and proof · cited by 63
- AlgebraicGeometry.LocallyOfFiniteTypeproof · cited by 59
- inf_assocproof · cited by 53
- inf_eq_leftproof · cited by 41
- AlgebraicGeometry.IsFinitestatement and proof · cited by 33
- AlgebraicGeometry.IsSeparatedproof · cited by 31
- AlgebraicGeometry.UniversallyClosedproof · cited by 24
- AlgebraicGeometry.IsProperstatement and proof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsFinite.iff_isProper_and_isAffineHomproof · cited by 0