Mathlib Map

Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.PartialMap.domain

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

The domain of definition of a partial map.

Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
60 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
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Around this declaration

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

AlgebraicGeometry.Scheme.PartialMap.hom · cited by 49PartialMap.homAlgebraicGeometry.Scheme.PartialMap.restrict · cited by 31PartialMap.restrictAlgebraicGeometry.Scheme.PartialMap.equiv · cited by 18PartialMap.equivAlgebraicGeometry.Scheme.PartialMap.comp · cited by 15PartialMap.compAlgebraicGeometry.Scheme.PartialMap.dense_domain · cited by 14PartialMap.dense_domainAlgebraicGeometry.Scheme.PartialMap.ext · cited by 12PartialMap.extAlgebraicGeometry.Scheme.PartialMap.compHom · cited by 11PartialMap.compHomAlgebraicGeometry.Scheme.PartialMap.fromSpecStalkOfMem · cited by 5PartialMap.fromSpecStalkO…AlgebraicGeometry.Scheme.PartialMap.le_domain_toRationalMap · cited by 3PartialMap.le_domain_toRa…AlgebraicGeometry.Scheme.PartialMap.restrict_hom · cited by 3PartialMap.restrict_homAlgebraicGeometry.Scheme.RationalMap.domain · cited by 3RationalMap.domainAlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equiv_left · cited by 3PartialMap.comp_equiv_of_…AlgebraicGeometry.Scheme.PartialMap.comp_toPartialMap · cited by 3PartialMap.comp_toPartial…AlgebraicGeometry.Scheme.PartialMap.restrict_toRationalMap · cited by 2PartialMap.restrict_toRat…AlgebraicGeometry.Scheme.PartialMap.equiv.refl · cited by 2equiv.reflAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Opens · cited by 1149Scheme.OpensAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapPartialMap.domainCITED BYCITES

Cites3

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

Cited by70

Results whose statement or proof uses this declaration.