Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.pullbackComparison_forget_surjective
∀ {X Y S : AlgebraicGeometry.Scheme} (f : X ⟶ S) (g : Y ⟶ S),
Function.Surjective
⇑(CategoryTheory.ConcreteCategory.hom
(CategoryTheory.Limits.pullbackComparison AlgebraicGeometry.Scheme.forget f g))The comparison map for pullbacks under the forgetful functor Scheme ⥤ Type u is surjective.
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- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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