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Ah ratings are typically at a 20hr discharge rate which is a very slow discharge. The faster you discharge a battery, the less Ah you can get out of them. If you discharge a 10Ah lead acid battery at 10A, or 1C (1C = 1X the battery capacity, 2C = 2X battery capacity would be 20Ah for this specific battery, etc.) you'll only get around half the capacity, or 5Ah out of it. This is called the Peukert effect. Lithium is a lot better than lead this way, but still it still suffers from the Peukert effect.
Also, it is alright to discharge a lead acid more then 20%. Most EV guys say 50%. The lower the better though.
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