The move comes after the Supreme Court earlier in the day granted bail to Singh, who has been chargesheeted by the ED in the case.
The relief was granted to Singh after his counsel said that the accused was entitled to statutory bail since the charge sheet was not filed by the ED within the stipulated period from the date of his arrest.
The ED and CBI have filed several cases against Singh.
The custody has been sought on the basis of a CBI case against Yadav for allegedly amassing assets disproportionate to his known sources of income.
In 2015, the ED had slapped money laundering charges against Singh, who was engineer-in-chief of the Noida Authority, Greater Noida Authority and Yamuna Expressway Industrial Development Authority, on the basis of an FIR lodged by the CBI.
Earlier, the Income Tax department had said raids in November 2014 had revealed that Singh's assets were hugely disproportionate to his income, following which he was suspended from the Uttar Pradesh government.
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