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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.PartialMap.IsOver

{X Y : AlgebraicGeometry.Scheme} → (S : AlgebraicGeometry.Scheme) → [X.Over S] → [Y.Over S] → X.PartialMap Y → Prop

A partial map is an S-map if the underlying morphism is.

Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
11 results in Mathlib
Foundations
Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.Scheme.OverAlgebraicGeometry.Scheme.Over
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated_of_le · cited by 2PartialMap.equiv_iff_of_i…AlgebraicGeometry.Scheme.RationalMap.IsOver.exists_partialMap_over · cited by 2IsOver.exists_partialMap_…AlgebraicGeometry.Scheme.PartialMap.isOver_iff · cited by 1PartialMap.isOver_iffAlgebraicGeometry.Scheme.PartialMap.isOver_iff_eq_restrict · cited by 1PartialMap.isOver_iff_eq_…AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_domain_eq_of_isSeparated · cited by 1PartialMap.equiv_iff_of_d…AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated · cited by 1PartialMap.equiv_iff_of_i…AlgebraicGeometry.Scheme.RationalMap.exists_partialMap_over · cited by 1RationalMap.exists_partia…AlgebraicGeometry.Scheme.PartialMap.exists_restrict_isOver · cited by 1PartialMap.exists_restric…AlgebraicGeometry.Scheme.PartialMap.isOver_toRationalMap_iff_of_isSeparated · cited by 0PartialMap.isOver_toRatio…AlgebraicGeometry.Scheme.RationalMap.isOver_iff · cited by 0RationalMap.isOver_iffAlgebraicGeometry.Scheme.PartialMap.equiv_toPartialMap_iff_of_isSeparated · cited by 0PartialMap.equiv_toPartia…AlgebraicGeometry.Scheme.RationalMap.IsOver.casesOn · cited by 0IsOver.casesOnAlgebraicGeometry.Scheme.RationalMap.IsOver.recOn · cited by 0IsOver.recOnAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapAlgebraicGeometry.Scheme.PartialMap.hom · cited by 49PartialMap.homAlgebraicGeometry.Scheme.Over · cited by 35Scheme.OverAlgebraicGeometry.Scheme.Hom.IsOver · cited by 19Hom.IsOverPartialMap.IsOverCITED BYCITES

Cites5

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Cited by13

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