My mistake, but this kind of methodology seems to be specific to a few industries like aviation and space, while being conspicuously absent from e.g. medicine. Ideally, the software industry would have its own life-critical standard that was applied across all domains, not that I'm suggesting such a standard is necessarily feasible right now.
Until we have such a universal standard, it is entirely possible for a bug in your free library to indirectly kill someone, in the course of everyday best practices.