Theorems · Theorem · algebraic geometry

AlgebraicGeometry.LocallyRingedSpace.restrictStalkIso_inv_eq_ofRestrict

∀ {U : TopCat} (X : AlgebraicGeometry.LocallyRingedSpace) {f : U ⟶ X.toTopCat}
  (h : Topology.IsOpenEmbedding ⇑(CategoryTheory.ConcreteCategory.hom f)) (x : ↑U),
  (X.restrictStalkIso h x).inv = AlgebraicGeometry.LocallyRingedSpace.Hom.stalkMap (X.ofRestrict h) x

Defined in: Mathlib.Geometry.RingedSpace.LocallyRingedSpace
Cited by: 0 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

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DFunLike.coestatement and proof · cited by 62,936
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AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
TopCatstatement and proof · cited by 1,889
AlgebraicGeometry.PresheafedSpace.presheafstatement · cited by 1,104

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