The phrase "with completion of" is correct and can be used in written English.
It is often used to refer to the finishing or accomplishment of something. Example: With completion of his master's degree, John was able to secure a better job.
Compliance with completion of the evaluations was 100%.
Formation of a simple crater ends with completion of the excavation stage.
Interim science operations are expected to begin in 2007 with completion of ALMA scheduled for 2011.
(Demolition has already started, with completion of the building set for the first quarter of 2015).
The project is being built in two phases, with completion of a 110,000-square-foot building expected by early 2003, according to Kevin Lalezarian.
The implementation will begin towards the end of this year, with completion of the core elements anticipated in early summer 2013.
Beginning in midcentury, the state enjoyed a respite with completion of the Central Valley Project, a large hydroengineering effort to redistribute surface water around the San Joaquin Valley.
The younger Wood apparently served as assistant to his father, being entrusted with completion of the elder Wood's design for the Exchange, Liverpool (1748 55).
But the Chabrow committee concluded that American costs are likely to reach as much as $24.7 billion, with completion of the project delayed until 2005 or 2006.
Mr. Nouvel cemented his reputation in 1987 with completion of the Arab World Institute, one of the "grand projects" commissioned during the presidency of François Mitterrand.
Compliance with completion of the form was poor and documentation of appropriate barriers and skin prep was less than 100% on completed forms.
