Does “to assert” a condition imply establishing it?

I’m a computer programmer. When we test programs, we often use a function called “assert” to check if the program produces the conditions we expect.

For example, this test will fail if the + produces an incorrect result:

assert( 2 + 3 ).equals(5)

Another meaning of “assert” in programming is “check, and take action, if necessary”. For instance, the procedure assertDataPresent() may check if the data has already been loaded. If it hasn’t, the function would try to do so, so that in either case the data is present after the procedure is executed.

Which of these meanings is the more common one in regular English? Can “assert” even be used in these ways outside programming?

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Does “to assert” a condition imply establishing it?

English usage and grammar

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