The submission was made before a bench of Chief Justice G Rohini and Justice Rajiv Sahai Endlaw by an association of radio taxi operators which has contended that "the court's direction was qua all app-based cab companies, but was being implemented against only one".
The court, however, did not issue any directions as the counsel for Delhi government was not present and deferred the matter to October 5.
The court in its August 11 order had also said that Ola, operated by ANI Technologies Ltd, was "factually incorrect" to contend that non-CNG commercial vehicles like diesel cabs were not barred from plying in Delhi.
It had also said the contention by Ola, an online cab service aggregator, was "misplaced" that as per Supreme Court orders, taxis only needed to be Euro-II compliant.
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The January 1 order was challenged by Ola before the high court, which on July 29 had passed an interim order upholding Delhi government's decision.
In its writ petition challenging the January 1 order, Ola had contended that it was not amenable to Delhi government's modified Radio Taxi Scheme as cabs contracted by it have All India Tourist Permits (AITPs) and, thus, it did not need to apply for licence to operate in the city.