Is the usage of that is correct here? And why is it correct? (main reason for the asking: I have not seen a sentence that is joined by that is)

Out of the experiments, only one is successful, that is, produces same same output in both set of input.

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In your question, that is is only a different way of saying: i.e.

"The actual term i.e. is an abbreviation of id est in Latin, which literally means "that is". In fact, when I see i.e., I cannot help but say "that is" in my head."


The words "that is" might be replaced with "in other words" or "let me explain that some more".

The usage you mentioned is correct.

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