(* What it is to be a maximum *)
 
Definition isMax (r : R) (max : float) :=
  Fbounded b max /\
  (r <= max)%R /\
  (forall f : float, Fbounded b f -> (r <= f)%R -> (max <= f)%R).

Theorem MinBinade : forall (r : R) (p : float), Fbounded b p -> (p <= r)%R -> (r < FNSucc b radix precision p)%R -> isMin r p.