The phrase "a core demand of" is correct and usable in written English.
It can be used when discussing fundamental requests or requirements related to a specific issue, group, or context.
Example: "The activists presented a core demand of increased transparency in government operations."
Alternatives: "a fundamental request for" or "a primary requirement of".
Similarly, the resignation of President Musharraf is not only a sign of politicians implementing a core demand of their constituents but also a remarkable departure from the past.
The announcement came despite the supreme military council's commitment to annul the law by September, which was a core demand of the revolution.
Prisoner releases have been a core demand of the delegation, which had canceled two trips to Pakistan over disagreements with the Pakistanis.
Safe zones have been a core demand of the Syrian opposition and were central to Turkey's Syria policy for much of the past five years.
At stake was not only the problem of how to share power among the traditional representatives of Lebanon's religious communities but also how to facilitate the emergence of nonsectarian political parties, a core demand of Lebanon's increasingly activist civil society.
Prisoner releases have been a core demand of the council, and Pakistan's move was seen as a good-faith effort to advance the moribund peace process as Western military forces prepare to withdraw from Afghanistan in 2014.
Asking the UK's education ministers to write to schools about female genital mutilation is the core demand of a campaign led by 17-year-old Fahma Mohamed to help stamp out the barbaric practice.
BP and the investors spent months in talks over the resolution, leading to some changes to the proposal but not on the core demand of a business strategy in line with Paris.
RMT general secretary Bob Crow said after Tuesday's talks with the employers that they had "secured a massive breakthrough on our core demand of workplace access which will enable us to build an organisation that can fight for real collective improvements to offshore working conditions including on the central issue of safety".
In an uncompromising speech, Netanyahu insisted the Palestinians must abandon their core demand of the right of refugees to return to their places of origin.
There are signs that a few Brotherhood leaders are softening their positions, but no sign of retreat on the core demand of restoring Mr. Morsi, even if only for a moment before he steps down.
