Theorems · Theorem · algebraic geometry

AlgebraicGeometry.LocallyRingedSpace.preimage_basicOpen

∀ {X Y : AlgebraicGeometry.LocallyRingedSpace} (f : X ⟶ Y) {U : TopologicalSpace.Opens ↑Y.toTopCat}
  (s : ↑(Y.presheaf.obj (Opposite.op U))),
  (TopologicalSpace.Opens.map f.base).obj (Y.toRingedSpace.basicOpen s) =
    X.toRingedSpace.basicOpen ((CategoryTheory.ConcreteCategory.hom (f.c.app (Opposite.op U))) s)

Defined in

Mathlib.Geometry.RingedSpace.LocallyRingedSpace

Cited by

2 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound