Definition Fcanonic (a : float) := Fnormal a \/ Fsubnormal a.

Theorem FboundedMboundPos : forall z m : Z, (0 <= m)%Z -> (m <= Zpower_nat radix precision)%Z -> (- dExp b <= z)%Z -> exists c : float, Fbounded b c /\ c = (m * powerRZ radix z)%R :>R.