Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.comp_toPartialMap
∀ {X Y Z : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X] [inst_1 : Nonempty ↥Y] (f : X.PartialMap Y)
[inst_2 : AlgebraicGeometry.IsDominant f.hom] (g : Y ⟶ Z),
f.comp (AlgebraicGeometry.Scheme.Hom.toPartialMap g) = f.compHom g- Cited by
- 3 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- 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
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.RationalMap.comp_toRationalMapproof · cited by 0
- AlgebraicGeometry.Scheme.RationalMap.comp_idproof · cited by 0
- AlgebraicGeometry.Scheme.PartialMap.comp_idproof · cited by 0