∀ {toGlueData : CategoryTheory.GlueData AlgebraicGeometry.LocallyRingedSpace}
  {f_open : ∀ (i j : toGlueData.J), AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion (toGlueData.f i j)}
  {toGlueData_1 : CategoryTheory.GlueData AlgebraicGeometry.LocallyRingedSpace}
  {f_open_1 : ∀ (i j : toGlueData_1.J), AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion (toGlueData_1.f i j)},
  { toGlueData := toGlueData, f_open := f_open } = { toGlueData := toGlueData_1, f_open := f_open_1 } →
    toGlueData = toGlueData_1