∀ {X Y : AlgebraicGeometry.Scheme} [IrreducibleSpace ↥X] {x : ↥X} [X.IsGermInjectiveAt x] (f g : X.PartialMap Y)
  (hxf : x ∈ f.domain) (hxg : x ∈ g.domain), f.fromSpecStalkOfMem hxf = g.fromSpecStalkOfMem hxg → f.equiv g