Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.restrict_presheaf_obj

∀ {U : TopCat} (X : AlgebraicGeometry.Scheme) {f : U ⟶ TopCat.of ↥X}
  (h : Topology.IsOpenEmbedding ⇑(CategoryTheory.ConcreteCategory.hom f)) (X_1 : (TopologicalSpace.Opens ↑U)ᵒᵖ),
  (X.restrict h).presheaf.obj X_1 = X.presheaf.obj (Opposite.op (h.functor.obj (Opposite.unop X_1)))

Defined in

Mathlib.AlgebraicGeometry.OpenImmersion

Cited by

0 results in Mathlib

Foundations

Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound