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The phrase 'using the fact that' is correct and usable in written English.
You can use this phrase to introduce a statement which is based on something that has already been established as true. For example, "Using the fact that the day is getting longer, we can conclude that spring must be coming soon."
Exact(60)
Hence, for all, using the fact that is holomorphic, (4.16).
Using the fact that is nondecreasing, we have (2.5).
Using the fact that is bounded on the compact set (thus, we will get (3.26).
Using the fact that is torsion-free, we can show that is injective.
With this substitution, and using the fact that is an even function of and, (23) becomes.
Now, using the fact that is isotropic to first order, we have (5.18).
Letting, and using the fact that is continuous on its variable, we get that.
Then, using the fact that is monotone, we see that consists of a single point, and therefore so does.
Not long after, using the fact that his mother was English, he came to England.
Using the fact that (4.8).
Now using the fact that (2.20).
More suggestions(16)
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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