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The phrase "a wide base for" is correct and usable in written English.
It can be used when discussing the foundation or support for an idea, argument, or structure, indicating that it is broad or extensive.
Example: "The research provided a wide base for understanding the complex relationship between climate change and biodiversity."
Alternatives: "a broad foundation for" or "a solid groundwork for".
Exact(2)
Akbar thus obtained a wide base for Mughal power among thousands of Rajput warriors who controlled large and small parcels of the countryside throughout much of his empire.
He got so many compliments on a walking stick he'd made for himself out of a discarded Christmas tree — a wide base for balance, a storage compartment and wood-burned designs — that he began accepting orders from friends and neighbors.
Similar(58)
Almost contemporaneously, a similar movement based in Toulouse arose and concentrated on problems of linguistic and orthographic standardization to provide a wider base for literary endeavour.
Nevertheless, ENRICH provided a wider base for recruitment to studies than has previously been the case.
The TIP provides a wider base for supporting the HTO wedge even without the use of locking screws, thus significantly enhancing construct stiffness and suppressing wedge fracture.
This whipped up public anti-Catholic frenzy and gave Shaftesbury a wide base of public support for excluding James, Duke of York from the throne.
In her announcement today, the president asked for a wide base of support in her attempts to address Indonesia's economic and social crises.
Exporters are in favour of the deal as it promises lower tariffs, less red tape and a wider base of consumers for their goods, but the negotiations have faced opposition in Europe, where consumers fear it would ride roughshod over the 28-nation bloc's labour market and environmental standards, and lead to more outsourcing and job losses.
Two years later McKim, Mead & White designed a 30-story building, a slim brick office tower with ribbon windows and a rooftop terrace, set on top of a wide base with space for 1,200 cars.
When properly implemented, diversity efforts could bring the IT industry an extra $400 billion in revenue each year since diverse professionals enable superior and more relevant algorithms for a wider base of audiences.
That's fine for early adopters, but as clothing e-tailers mature, they are looking beyond early adopters to a wider base of would-be customers for their online stores, and those will need something more.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com