You can read their full judgement, which explains why the extraditions should go ahead, here.
Extraditions of criminals to the U.S., once a politically sensitive subject in Mexico, have been rising fast.
But Colombian President Alvaro Uribe's campaign of arrests and extraditions made ghosts of the Medellin and Cali cartels.
We have the first extraditions in history of suspected criminals, charged criminals, from Mexico to the United States.
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Arrests and extraditions crippled the Arellano-Felix Organization in Tijuana, and last year, Guzman made a move on that plaza as well.
The fact that America finally has got its men, following mammoth legal battles, will probably make future similar extraditions occur far more quickly.
Vojislav Kostunica, the ex-president of Yugoslavia who is chief coalition-broker and prospective prime minister, says extraditions are not a priority for him either.
The Home Office could not substantiate its hints that most extraditions to America are of Americans, rather than of Britons such as Mr McKinnon.
Both parties loathe any idea of more extraditions to The Hague.
Irrespective of where that leads, the question is whether the new CPS guidance would have stopped the two extraditions had it been in force three weeks ago?
Procedural complexities and powerful lawyers may still stop extraditions.
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It is believed extraditions could happen within three weeks.
Judges comprehensively threw out an attempt to privately prosecute the men, describing it as an attempt to thwart entirely legitimate extraditions to the US, approved by every court that had examined the applications.
Home Secretary Theresa May wants to see a new "forum bar" that would allow judges to block some extraditions in cases where the UK is seen as the most appropriate location for a trial.
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The Home Secretary has already separately announced that she wants to see a new "forum bar" that would allow judges to block some extraditions where the UK is the most appropriate location for a trial.
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