Theorems · Theorem · algebraic geometry

AlgebraicGeometry.IsOpenImmersion.of_openCover_source

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (𝒰 : X.OpenCover),
  Function.Injective ⇑f →
    (∀ (i : 𝒰.I₀), AlgebraicGeometry.IsOpenImmersion (CategoryTheory.CategoryStruct.comp (𝒰.f i) f)) →
      AlgebraicGeometry.IsOpenImmersion f

Defined in: Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion
Cited by: 1 results in Mathlib
Foundations: Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by1

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AlgebraicGeometry.IsOpenImmersion.of_forall_source_existsproof · cited by 0