rewrite pGivesBound.
rewrite Zabs_eq; auto with zarith.
unfold nNormMin in |- *; simpl in |- *; auto with zarith arith.
apply Zlt_le_weak; auto with zarith.
apply nNormPos.
rewrite pGivesBound.
replace precision with (pred precision + 1).
rewrite Zpower_nat_is_exp; auto with zarith.
rewrite Zpower_nat_1; auto with zarith.
rewrite (fun x => Zmult_comm x radix); unfold nNormMin in |- *;
auto with zarith.
unfold nNormMin in |- *; auto with zarith.
Qed.

Theorem pNormal_absolu_min :
forall p : float, Fnormal p -> (nNormMin <= Zabs (Fnum p))%Z.