Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.comp_def
∀ {X Y Z : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X] [inst_1 : Nonempty ↥Y] (f : X.RationalMap Y)
[inst_2 : f.IsDominant] (g : Y.PartialMap Z), f.comp g.toRationalMap = (f.representative.comp g).toRationalMap- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- AlgebraicGeometry.Scheme.PartialMapstatement and proof · cited by 76
- PreirreducibleSpacestatement and proof · cited by 33
- AlgebraicGeometry.Scheme.PartialMap.toRationalMapstatement · cited by 26
- AlgebraicGeometry.Scheme.RationalMapstatement and proof · cited by 25
- AlgebraicGeometry.Scheme.PartialMap.compstatement · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.RationalMap.toRationalMap_compproof · cited by 1
- AlgebraicGeometry.Scheme.RationalMap.comp_assocproof · cited by 0