I like to use this chart for determining the approximate charge state of my batteries...
I consider the 12.0VDC level being the approximate 50% charge state.
When camping off the grid this is what I watch for... Then the next morning when allowed to run my generator I will bring my battery bank backup to its 90% charge state in about three hours time using smart mode charging.
You should be be OK if you get the 11.3VDC level charged back up right away... It is definitely not good for the battery to get that low of a charge state.
Roy Ken