Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.liftCoborder_preimage

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.IsImmersion f]
  (U : (↑(AlgebraicGeometry.Scheme.Hom.coborderRange f)).Opens),
  (TopologicalSpace.Opens.map (AlgebraicGeometry.Scheme.Hom.liftCoborder f).base).obj U =
    (TopologicalSpace.Opens.map f.base).obj
      ((AlgebraicGeometry.Scheme.Hom.opensFunctor (AlgebraicGeometry.Scheme.Hom.coborderRange f).ι).obj U)

Defined in

Mathlib.AlgebraicGeometry.Morphisms.Immersion

Cited by

2 results in Mathlib

Foundations

Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.IsImmersion