The phrase "cooperate within" is correct and can be used in written English.
It is used to refer to cooperation that is limited to a particular group or organization. For example, "We need to cooperate within the team to complete this project on time."
The IMF stands ready to cooperate within our frameworks.
The IMF stands ready to cooperate within our frameworks," said Christine Lagarde, the IMF chief.
stands ready to cooperate within our frameworks," Christine Lagarde, the I.M.F.
If Giambi did not agree to cooperate within two weeks, Selig strongly implied that he would punish him, presumably with a fine and a suspension.
There's no work anymore!" Mr. Tran was among those who believed the symbol change amounted to the party paying allegiance to the European Left, a coalition of left-wing movements formed in 1999 to cooperate within the European Parliament.
A key question is whether there is in truth a need for an assessment of whether Iraq's conduct constitutes a failure to take the final opportunity or has constituted a failure fully to cooperate within the meaning of OP4 such that the basis of the ceasefire is destroyed.
And by cooperating within NATO, rather than as nations working alone, we deliver a far more effective system at a far lower price.
The males, with many male relatives in their group, have a strong interest in cooperating within the group because they are defending both their own children and those of their brothers and other relatives.
Engineers, neurologists, and neurosurgeons are cooperating within an interdisciplinary project structure, in order to practically approach neurosurgical problems by elaborating novel ultrasound-based technologies.
His theory of justice as fairness envisions a society of free citizens holding equal basic rights cooperating within an egalitarian economic system.
They sometimes formed mixed groups and cooperated within common settlements with the Celts, of which the Tyniec group in the Kraków region and another one in Kujawy are the known examples.
