Agreed ... but a minor problem ... no formal Declaration of War is to be seen. War Powers Act is close, but it is not the "real" thingy.
"To authorize the use of United States Armed Forces against Iraq."
It also states
Whereas Congress has taken steps to pursue vigorously the war on terrorism through the provision of authorities and funding requested by the President to take the necessary actions against international terrorists and terrorist organizations, including those nations, organizations, or persons who planned, authorized, committed, or aided the terrorist attacks that occurred on September 11, 2001, or harbored such persons or organizations;"
Note the word war is used in the joint resolution. This is a declaration of war. Therefore we are at war. I suggest you read www.yourcongress.com the resolution.