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Laurence wrote that "DME is required for many ILS approaches. Unless the chart is notated "GPS can be used for DME" then you must have DME."
This is actually incorrect. I hesitate to say that all new GA singles with glass are not equipped with DME, but I'm fairly certain that it's the case. If you have a GNS 430 or equivalent nav/com, there is no DME installed. What you're claiming means that nobody owning a GNS430/530 or G1000-equipped aircraft - essentially every GA single sold for the past five or more years - is unable to shoot about half of the ILS approaches currently in service.
AIM 1-1-19 (f. Use of GPS in lieu of ADF and DME) determines what fixes and equipment IFR-approved GPS can be substituted for (ADF and/or DME in general), and it's a pretty liberal list:
(a) Operations allowed:
(1) Determining the aircraft position over a DME fix.
(2) Flying a DME arc.
(3) Navigating to/from an NDB/compass locator.