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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.locallyRingedSpace_toLocallyRingedSpace

∀ {X Y : AlgebraicGeometry.LocallyRingedSpace} (f : X ⟶ Y)
  [inst : AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion f],
  AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toLocallyRingedSpace Y f.toHom = X
Defined in
Mathlib.Geometry.RingedSpace.OpenImmersion
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.scheme_toScheme · cited by 0IsOpenImmersion.scheme_to…Quiver.Hom · cited by 32603Quiver.HomCommRingCat · cited by 2333CommRingCatAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…AlgebraicGeometry.LocallyRingedSpace.Hom.toHom · cited by 995Hom.toHomAlgebraicGeometry.LocallyRingedSpace · cited by 205AlgebraicGeometry.Locally…AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion · cited by 28LocallyRingedSpace.IsOpen…AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toLocallyRingedSpace · cited by 5IsOpenImmersion.toLocally…IsOpenImmersion.locallyRinged…CITED BYCITES

Cites8

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Cited by1

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