Started a realization of real.real.
This is just a proof of concept, since most definitions should just be notations for the realization to be user-friendly. Moreover, the format of the file will presumably evolve, if only for some information to properly update it when the theories change. Remark about the theory : Lemma mul_assoc_div has an extraneous hypothesis. Indeed, as long as inverse is a total function, this lemma is an immediate consequence of multiplication associativity.