The phrase "a stepping up of" is correct and usable in written English.
It can be used to describe an increase or enhancement in a particular area or aspect, often in a formal or business context.
Example: "The company announced a stepping up of its efforts to reduce carbon emissions by 50% over the next five years."
Alternatives: "an increase in" or "a boost to".
The series of security alerts follows a stepping up of security following the Paris terror attacks which happened on Friday.
Religious figures have demanded a stepping up of demonstrations in Lebanon, while one person was reportedly killed during clashes with police in Pakistan over the weekend.
The result is bound to be a stepping up of tensions as England seek their first series win in Australia since the mid-80s.
The American aid plan to Colombia, he added, represents "a stepping up of the level of conflict" that "could generate this effect".
To that end, the Warsaw summit would mark a stepping up of Nato cooperation with Sweden and Finland, neither of which are members, the official said.
Cameron's speech, which saw him briefly turn red with anger in a crowded hall of a secondary school, marked a stepping up of what he has called his "passionate prime minister" campaigning.
"It's a step up, of course it is," said Biggar.
The large-scale prosecutions could not be independently verified but, if they proceed, they would represent a stepping-up of the government's longtime struggle against defiant Christian groups.
This was a stepping-up of an Athenian involvement in Euboea that goes back to the 6th century, when Athens installed a cleruchy on Chalcis soon after the Cleisthenic reforms.
Investors also expressed concern that the company had cut debt by only euro3 billion, to euro61 billion.Reverse engineeringAlstom's share price plunged by 50% in a day, after the French engineering firm announced the departure of its chief executive, the sale of a key part of its business and a stepping-up of its cost-cutting plans.
Even housebuilders – the supposed indirect beneficiaries of the doubling of the housing budget – are sceptical about the 400,000 target, which implies a step-up of about 40% from current rates of construction.
