Your question got overlooked but is important.
If the +10 or +11 is the lowest number of the day, it is the nadir. A lower number at the end of the cycle is considered a double dip only if there was already a nadir. The double dip number is typically not lower than the nadir.
While there are many patterns you might see in a cycle, in this instance, let's talk about just two, most often seen in Lantus, to help you distinguish.
One is where the kitty comes down to a nadir, goes back up, and then comes down again around the end of the cycle, but not as low as the nadir....this is a cycle with a double dip.
The other is usually when kitty is clearing a bounce and the BG drops all day long so the lowest BG of the cycle (the nadir) is at the end of the cycle. We call this a dropping number.
It's important to know the difference between a second dip and a dropping number when deciding whether to shoot. With a second dip, you can safely shoot above 50 knowing the numbers will go back up before the next shot onsets. With a dropping number, it takes time and data, experience, knowing your cat, etc, to shoot a lower number (above 50) that is the lowest of the cycle. The numbers can continue to drop after the shot and then when the next shot onsets, numbers can drop again. You can see why it's really important to know your cat, have data, etc to shoot a lower dropping number. But it also can give great carryover and overlap for nice long, green cycles as long as the CG knows what they are doing, how the BG might fall, and how the kitty responds to food.
With Levemir, many of these kitties, including mine, have a nadir at the end of the cycle. It's the beauty of Levemir as it can allow for great carryover and overlap. Levemir users have to learn to shoot low (above 50). There are some Lantus cats who quite often nadir late in the cycle (not as part of clearing a bounce but they just have a late nadir) and those CGs also have to learn to shoot lower numbers (above 50).