This article investigates the spread of the le/la/les-forms in the diachrony of French on the basis of large-scale corpora. It focuses on the issue of their “mixed” distribution viz. the observation that during a long period of time the le/la/les-forms in French do not pattern as either (anaphoric) demonstratives from which they originate (Late Latin ille), nor as (uniqueness-based) definites, which they end up becoming in Modern French. We model the phenomenon as a competition between two grammars which ascribe different Logical Forms to the l-forms and test model predictions in contexts which differ with respect to whether they satisfy the relevant conditions for either demonstrative or definite semantics. We also suggest that this change was part of a larger change involving the spread of presupposition triggers within noun phrases. We show that our model correctly predicts the relative rates of determiner spread in various contexts.