Mathlib Map

Theorems · Inductive type · algebraic geometry

AlgebraicGeometry.Scheme.RationalMap.IsOver

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

A rational map is an S-map if some partial map in the equivalence class is an S-map.

Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
5 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.Scheme.OverAlgebraicGeometry.Scheme.Over
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Around this declaration

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

AlgebraicGeometry.Scheme.RationalMap.IsOver.exists_partialMap_over · cited by 2IsOver.exists_partialMap_…AlgebraicGeometry.Scheme.PartialMap.exists_restrict_isOver · cited by 1PartialMap.exists_restric…AlgebraicGeometry.Scheme.RationalMap.exists_partialMap_over · cited by 1RationalMap.exists_partia…AlgebraicGeometry.Scheme.RationalMap.isOver_iff · cited by 0RationalMap.isOver_iffAlgebraicGeometry.Scheme.PartialMap.isOver_toRationalMap_iff_of_isSeparated · cited by 0PartialMap.isOver_toRatio…AlgebraicGeometry.Scheme.RationalMap.IsOver.casesOn · cited by 0IsOver.casesOnAlgebraicGeometry.Scheme.RationalMap.equivFunctionFieldOver · cited by 0RationalMap.equivFunction…AlgebraicGeometry.Scheme.RationalMap.IsOver.recOn · cited by 0IsOver.recOnAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Over · cited by 35Scheme.OverAlgebraicGeometry.Scheme.RationalMap · cited by 25Scheme.RationalMapRationalMap.IsOverCITED BYCITES

Cites3

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Cited by8

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