intros p H' H'0.
unfold FtoRradix in |- *; apply FNSuccFNSuccMid; auto.
red in |- *; intros H'1;
absurd (FNodd b radix precision (FNSucc b radix precision p));
auto.
unfold FNodd in |- *.
rewrite FcanonicFnormalizeEq; auto with float arith.
unfold Fodd in |- *.
rewrite H'1.
apply EvenNOdd; auto with float arith.
apply FevenNormMin; auto with float arith.
apply FNevenSuc; auto.
red in |- *; intros H'1;
absurd (FNodd b radix precision (FNSucc b radix precision p));
auto with float arith.
unfold FNodd in |- *.
rewrite FcanonicFnormalizeEq; auto with float arith.
unfold Fodd in |- *.
rewrite H'1.
apply EvenNOdd.
apply EvenOpp; apply FevenNormMin.
Qed.

Theorem AScal2 :
forall p : float, Float (Fnum p) (Fexp p + 1%nat) = (radix * p)%R :>R.