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Theorems · Definition · algebraic geometry

AlgebraicGeometry.LocallyRingedSpace.Hom.toHom

{X Y : AlgebraicGeometry.LocallyRingedSpace} → X.Hom Y → X.Hom Y.toPresheafedSpace
Defined in
Mathlib.Geometry.RingedSpace.LocallyRingedSpace
Cited by
995 results in Mathlib
Foundations
Depth 22 from the axioms, rests on 192 definitions · uses propext, Quot.sound

Around this declaration

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

AlgebraicGeometry.Scheme.Hom.app · cited by 176Hom.appAlgebraicGeometry.Scheme.Hom.appLE · cited by 138Hom.appLEAlgebraicGeometry.Scheme.Hom.opensRange · cited by 113Hom.opensRangeAlgebraicGeometry.morphismRestrict · cited by 90AlgebraicGeometry.morphis…AlgebraicGeometry.Scheme.Hom.stalkMap · cited by 82Hom.stalkMapAlgebraicGeometry.Scheme.Hom.resLE · cited by 45Hom.resLEAlgebraicGeometry.Scheme.Hom.continuous · cited by 41Hom.continuousAlgebraicGeometry.Scheme.Hom.preimage_image_eq · cited by 37Hom.preimage_image_eqAlgebraicGeometry.Scheme.isBasis_affineOpens · cited by 37Scheme.isBasis_affineOpensAlgebraicGeometry.topologically · cited by 35AlgebraicGeometry.topolog…AlgebraicGeometry.Scheme.Hom.isOpenEmbedding · cited by 35Hom.isOpenEmbeddingAlgebraicGeometry.LocallyRingedSpace.Hom.stalkMap · cited by 34Hom.stalkMapAlgebraicGeometry.Scheme.Hom.app_eq_appLE · cited by 32Hom.app_eq_appLEAlgebraicGeometry.Scheme.Hom.comp_apply · cited by 32Hom.comp_applyAlgebraicGeometry.LocallyRingedSpace.Hom.toShHom · cited by 31Hom.toShHomCommRingCat · cited by 2333CommRingCatAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…AlgebraicGeometry.LocallyRingedSpace · cited by 205AlgebraicGeometry.Locally…AlgebraicGeometry.PresheafedSpace.Hom · cited by 32PresheafedSpace.HomAlgebraicGeometry.LocallyRingedSpace.Hom · cited by 23LocallyRingedSpace.HomHom.toHomCITED BYCITES

Cites6

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

Cited by1,149

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 1,149.