Mathlib Map

Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.RationalMap.representative

{X Y : AlgebraicGeometry.Scheme} → X.RationalMap Y → X.PartialMap Y

An arbitrarily chosen partial map representing f. Use RationalMap.toPartialMap instead if X is reduced and Y is separated.

Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
7 results in Mathlib
Foundations
Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AlgebraicGeometry.Scheme.RationalMap.comp · cited by 7RationalMap.compAlgebraicGeometry.Scheme.RationalMap.toRationalMap_representative · cited by 5RationalMap.toRationalMap…AlgebraicGeometry.Scheme.PartialMap.representative_toRationalMap_equiv · cited by 2PartialMap.representative…AlgebraicGeometry.Scheme.RationalMap.comp_def · cited by 2RationalMap.comp_defAlgebraicGeometry.Scheme.RationalMap.comp_assoc · cited by 0RationalMap.comp_assocAlgebraicGeometry.Scheme.RationalMap.comp_id · cited by 0RationalMap.comp_idAlgebraicGeometry.Scheme.RationalMap.comp_toRationalMap · cited by 0RationalMap.comp_toRation…AlgebraicGeometry.Scheme.RationalMap.id_comp · cited by 0RationalMap.id_compAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapAlgebraicGeometry.Scheme.RationalMap · cited by 25Scheme.RationalMapAlgebraicGeometry.Scheme.RationalMap.exists_rep · cited by 2RationalMap.exists_repRationalMap.representativeCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.