Next to the Palais-Royal stands the Banque de France, east of the garden (and landlord of most of its apartments), and the Bibliothaque Nationale (National Library), just to the north.
The Banque de France is nearby to the Palais-Royal.  
mnli hypothesis: The Banque de France is nearby to the Palais-Royal.   premise: Next to the Palais-Royal stands the Banque de France, east of the garden (and landlord of most of its apartments), and the Bibliothaque Nationale (National Library), just to the north.