The proper time between two events is indicated by a clock present at both events. It is invariant, i.e., in all inertial frames it is agreed that this time is indicated by that clock. Interval "df" is therefore the proper time of clock C, and is shorter with respect to the coordinate times "ef=dg" of clocks B and A in S. Conversely, also proper time "ef" of B is shorter with respect to time "if" in S′, because event "e" was measured in S′ already at time "i" due to relativity of simultaneity, long before C started to tick.