 Given the TRL-function, \(\TRL\), and a moment \(s\), we introduce an adjusted thin red line function, \(\TRL_s\), by defining that \(\TRL_s\) and \(TRL\) differ only for moments that belong to the past of \(s\), in which case \(\TRL_s\) gives the chronicle \(TRL(s)\). In other words, \(\TRL_s(t) = \TRL(s)\) for \(t \lt s\), and otherwise \(\TRL_s(t) = \TRL(t)\). Intuitively, using \(\TRL_s\) means that \(s\) is conceived as the perspective of the statement in question, and it is actual in the sense that at any moment before it would belong to the true future according to the evaluation currently used. It is easy to verify that \(\TRL_s\), like \(TRL\), satisfy the constraints (TRL1) and (TRL2′). This means that \(\TRL_s\) formally qualifies as a thin red line function for an arbitrary moment, \(s\), in the same sense as \(\TRL\).