such that

English

Which satisfies (the condition that).
- 1986, Roderick M. Chisholm, “Self-Profile”, in Radu J. Bogdan, editor, Profiles: Roderick M. Chisholm, Springer, page 30:
  A world, then, is a state of affairs W of this sort: For every state of affairs p, either W logically implies p or W logically implies the negation of p, and there is no state of affairs q such that W logically implies both q and the negation of q.
- 1999, Saul Stahl, Real Analysis: A Historical Approach, John Wiley & Sons, page 63:
  Prove that there is no rational number $r$ such that $r^{2}=3$ .
- 2025, Edward A. F. Gibson, “Introduction” (chapter 1), in Syntax: A Cognitive Approach, MIT Press, →DOI, →ISBN, page 1:
  There are over three hundred distinct languages families, such that one language family has no obvious connections with any other language family […].
(Indicating degree) to the extent that; so.
(Indicating manner) in a way that entails that.
The assault was fierce, such that he passed out and remembers nothing further of the attack.
- 2016, The Sunday Times:
  The regulatory environment is different in each country, such that it is not possible to put together two equities dealing operations on the same platform.

In general, X such that Y specifies or indicates that X is true to such a degree or in such a way as to entail Y.

which satisfies the condition that — see also so that,‎ so as to

Dutch: zodanig dat
French: tel que (fr) (+ subjunctive)
German: so dass (de)
Italian: tale che
Japanese: する程 (suru hodo)
Korean: 할 정도로 (hal jeongdoro)
Polish: w celu (pl), tak aby, tak żeby
Romanian: astfel încât
Spanish: followed by subjunctive: tal que (es), de modo que, de modo tal que (es), de manera que, de modo y manera que, de suerte que (es); following by infinitive: de modo de, de manera de (es)
Vietnamese: sao cho (vi)