Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.comp_toRationalMap
∀ {X Y Z : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X] [inst_1 : Nonempty ↥Y] (f : X.RationalMap Y)
[inst_2 : f.IsDominant] (h : Y ⟶ Z), f.comp (AlgebraicGeometry.Scheme.Hom.toRationalMap h) = f.compHom h- Cited by
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- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- PreirreducibleSpacestatement and proof · cited by 33
- AlgebraicGeometry.Scheme.PartialMap.toRationalMapproof · cited by 26
- AlgebraicGeometry.Scheme.RationalMapstatement and proof · cited by 25
- AlgebraicGeometry.Scheme.RationalMap.IsDominantstatement and proof · cited by 8
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