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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.PartialMap.compHom_id

∀ {X Y : AlgebraicGeometry.Scheme} (f : X.PartialMap Y), f.compHom (CategoryTheory.CategoryStruct.id Y) = f
Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
2 results in Mathlib
Foundations
Depth 145 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.comp_id · cited by 0RationalMap.comp_idAlgebraicGeometry.Scheme.PartialMap.comp_id · cited by 0PartialMap.comp_idCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeSet.ext · cited by 2266Set.extCategoryTheory.Category.comp_id · cited by 2119Category.comp_idAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierCategoryTheory.Category.id_comp · cited by 1998Category.id_compAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…AlgebraicGeometry.Scheme.toLocallyRingedSpace · cited by 1734Scheme.toLocallyRingedSpa…TopologicalSpace.Opens.ext · cited by 83Opens.extAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapAlgebraicGeometry.Scheme.PartialMap.domain · cited by 60PartialMap.domainPartialMap.compHom_idCITED BYCITES

Cites19

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Cited by2

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