Here is another scene from the film I discussed earlier. Mathieu and Conchita [Carole Bouquet] are sitting at a table in the garden. Conchita says "I have something to say, but not here". Mathieu gets up, and she follows him up a short flight of stairs, into the house. Mathieu shows her through the door. [Cut to interior of house] Mathieu accompanies Conchita [Angelina Molina] into the living room, where she says "Mathieu, I'll explain what happened last night".
Thus the identity is expressed by the context. We see a woman walk through a door in the exterior. We cut to a woman walking through a door into the interior. Therefore we assume it is the same door, and the same woman. It is all fiction - there is no woman, and no identity. But the film is telling us there is a woman, and it is telling us there is an identity.