A Priori (mathematics) —in mathematical literature, one often says proposition A "does not ''a priori'' imply" proposition B if any such implication would require some nontrivial reasoning. In particular, the question of whether proposition A implies proposition B ''a priori'' is independent of whether proposition A implies proposition B in fact.
A Priory is a house of men or women under religious vows headed by a prior or prioress.
Apriori Algorithm a classic algorithm for learning association rules