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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.PartialMap.ext

∀ {X Y : AlgebraicGeometry.Scheme} (f g : X.PartialMap Y) (e : f.domain = g.domain),
  f.hom = CategoryTheory.CategoryStruct.comp (X.isoOfEq e).hom g.hom → f = g
Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
12 results in Mathlib
Foundations
Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.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.compHom_id · cited by 2PartialMap.compHom_idAlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equiv_right · cited by 2PartialMap.comp_equiv_of_…AlgebraicGeometry.Scheme.PartialMap.id_comp · cited by 1PartialMap.id_compAlgebraicGeometry.Scheme.PartialMap.id_compHom · cited by 1PartialMap.id_compHomAlgebraicGeometry.Scheme.PartialMap.comp_restrict_left · cited by 1PartialMap.comp_restrict_…AlgebraicGeometry.Scheme.PartialMap.comp_restrict_right · cited by 1PartialMap.comp_restrict_…AlgebraicGeometry.Scheme.RationalMap.toRationalMap_toPartialMap · cited by 0RationalMap.toRationalMap…AlgebraicGeometry.Scheme.PartialMap.comp_assoc · cited by 0PartialMap.comp_assocAlgebraicGeometry.Scheme.PartialMap.restrict_id · cited by 0PartialMap.restrict_idAlgebraicGeometry.Scheme.PartialMap.restrict_restrict · cited by 0PartialMap.restrict_restr…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Opens · cited by 1149Scheme.OpensAlgebraicGeometry.Scheme.Opens.toScheme · cited by 433Opens.toSchemeAlgebraicGeometry.Scheme.PartialMap · cited by 76Scheme.PartialMapAlgebraicGeometry.Scheme.PartialMap.domain · cited by 60PartialMap.domainAlgebraicGeometry.Scheme.PartialMap.hom · cited by 49PartialMap.homAlgebraicGeometry.Scheme.isoOfEq · cited by 33Scheme.isoOfEqAlgebraicGeometry.Scheme.PartialMap.ext_iff · cited by 2PartialMap.ext_iffPartialMap.extCITED BYCITES

Cites11

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Cited by12

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