∀ {X Y : AlgebraicGeometry.Scheme} {x : ↥X} [X.IsGermInjectiveAt x] (f g : X ⟶ Y) (e : f x = g x),
  AlgebraicGeometry.Scheme.Hom.stalkMap f x =
      CategoryTheory.CategoryStruct.comp (Y.presheaf.stalkSpecializes ⋯) (AlgebraicGeometry.Scheme.Hom.stalkMap g x) →
    ∃ U, x ∈ U ∧ CategoryTheory.CategoryStruct.comp U.ι f = CategoryTheory.CategoryStruct.comp U.ι g