Overlapping braking and gear change in specific circumstances Chapter 2 - Pages 37 - 40
The individual phases of the system of car control are almost always applied separately. The principle is that brakes are to SLOW, gears to GO
With automatic transmissions you cannot avoid brake / gear overlap as the transmission does this as the road speed decreases, as such it is critical that drivers of automatic vehicles slow to the correct road speed to negotiate a hazard without the need to apply secondary braking.
‘Diagrams and text from Roadcraft – The Police Rider’s Handbook, published 2013 by The Stationery Office (TSO) © Police Foundation copyright 2013. Reproduced with permission from the Police Foundation.’