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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.RationalMap.IsOver.exists_partialMap_over

∀ {X Y S : AlgebraicGeometry.Scheme} {inst : X.Over S} {inst_1 : Y.Over S} {f : X.RationalMap Y}
  [self : AlgebraicGeometry.Scheme.RationalMap.IsOver S f],
  ∃ g, AlgebraicGeometry.Scheme.PartialMap.IsOver S g ∧ g.toRationalMap = f
Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
2 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.Scheme.RationalMap.IsOver
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Around this declaration

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AlgebraicGeometry.Scheme.RationalMap.exists_partialMap_over · cited by 1RationalMap.exists_partia…AlgebraicGeometry.Scheme.PartialMap.exists_restrict_isOver · cited by 1PartialMap.exists_restric…AlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapAlgebraicGeometry.Scheme.Over · cited by 35Scheme.OverAlgebraicGeometry.Scheme.PartialMap.toRationalMap · cited by 26PartialMap.toRationalMapAlgebraicGeometry.Scheme.RationalMap · cited by 25Scheme.RationalMapAlgebraicGeometry.Scheme.PartialMap.IsOver · cited by 11PartialMap.IsOverAlgebraicGeometry.Scheme.RationalMap.IsOver · cited by 5RationalMap.IsOverIsOver.exists_partialMap_overCITED BYCITES

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Cited by2

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