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Discover LudwigThe phrase "this set exists" is correct and usable in written English.
You can use it when discussing the existence of a particular set in mathematical or logical contexts. Example: "In our discussion of number theory, we can confirm that this set exists and contains all prime numbers less than 100."
Exact(3)
The Axiom of Replacement implies that this set exists.
The Axiom of Infinity (in one formulation) simply asserts that this set exists.
If this set exists, then continue.
Similar(56)
So far no data on gas exchange in this setting exist to date.
A systematic review of uses of automated telephone computer systems concluded that the reliability and availability of such systems made them attractive for use in follow-up, but that little evidence for their use in this setting existed and that further trials were needed (Biem et al, 2003).
By Replacement, the set exists.
In the training stage, this phenomenon can suggest to the users that a small, but useful fuzzy rule set exists in this data set.
As no data set exists for this new location problem, a new data set based on convex polygons using triangular shape is constructed.
Moreover, in NF the universal set exists.
If no such set exists, the function outputs ⊥.
A compact absorbing set exists, i.e., (K subset D).
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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