Mathlib Map

Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.PartialMap.compHom

{X Y Z : AlgebraicGeometry.Scheme} → X.PartialMap Y → (Y ⟶ Z) → X.PartialMap Z

The composition of a partial map and a morphism on the right.

Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
11 results in Mathlib
Foundations
Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

AlgebraicGeometry.Scheme.RationalMap.compHom · cited by 4RationalMap.compHomAlgebraicGeometry.Scheme.PartialMap.comp_toPartialMap · cited by 3PartialMap.comp_toPartial…AlgebraicGeometry.Scheme.PartialMap.compHom_id · cited by 2PartialMap.compHom_idAlgebraicGeometry.Scheme.RationalMap.compHom_toRationalMap · cited by 2RationalMap.compHom_toRat…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.compHom_hom · cited by 1PartialMap.compHom_homAlgebraicGeometry.Scheme.PartialMap.id_compHom · cited by 1PartialMap.id_compHomAlgebraicGeometry.Scheme.RationalMap.isOver_iff · cited by 0RationalMap.isOver_iffAlgebraicGeometry.Scheme.PartialMap.compHom_domain · cited by 0PartialMap.compHom_domainAlgebraicGeometry.Scheme.PartialMap.fromSpecStalkOfMem_compHom · cited by 0PartialMap.fromSpecStalkO…AlgebraicGeometry.Scheme.Hom.toPartialMap_compHom · cited by 0Hom.toPartialMap_compHomQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapAlgebraicGeometry.Scheme.PartialMap.domain · cited by 60PartialMap.domainAlgebraicGeometry.Scheme.PartialMap.hom · cited by 49PartialMap.homAlgebraicGeometry.Scheme.PartialMap.dense_domain · cited by 14PartialMap.dense_domainPartialMap.compHomCITED BYCITES

Cites7

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

Cited by12

Results whose statement or proof uses this declaration.