The decision speed, V1, may not be above VR. The only time a large aircraft would ever be landed back on, would be if a failure was suspected that would prevent the aircraft from flying (a structural failure or a masiive fire). Thus, VR must not be less than V1.
Also, if the decision is made to go after an engine failure during take-off, then the asymetric thrust will force the aircraft off the centre line. The pilot will try to keep the aircraft straight with rudder, an aerodynamic force. The rudder effectiveness increases with forward airspeed.
Below the minimum control speed on the ground, VMCG, the aircraft cannot be kept straight. So, the engine failure speed, VEF, must be greater than or equal to VMCG and as V1 is greater VEF, it follows that V1 must be greater than VMCG by that margin.
The minimum control speed in the air, following an engine failure, is VMCA, to distinguish it from VMCG. When operating at VMCA, following an engine failure up to 5º of bank towards the live engine may be used in addition to the rudder to help keep the aircraft straight.
It would seem obvious to say that the aircraft must be controllable in the air and thus, VLOF should not be less than VMCA. But, as the aircraft leaves the ground at VLOF, the 5º bank cannot be immediately applied with the aircraft technically out of control for a while and VLOF is not calculated, we only calculate VR.
The restriction on controllability is therefore applied to VR and a factor is added to allow for the absence of 5º of bank. The restriction is that VR must be not less than 1.05 VMCA.
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