AFM dictates what you can and cannot do with the airplane.
Chart says what is required for STAR/SID/...
The two do not necessarily say the same or require the same.
Thus a RNAV 1 chart may (or not) say DME is required.
If DME is required the MEL items prohibits you flying such procedure.
If no reference to DME required on RNAV 1 chart you are good to go as your other systems installed guarantee you RNAV 1 compliance.
An RNAV 1 procedure based on DME/DME essentially means that when the procedure was created, the following was undertaken:
- If RNAV 1 is required for SID:
- DME/DME and GNSS is assumed as the navigation sensor.
- Greater of the following two types of areas is applied
- GNSS criteria or
- DME/DME criteria
- Classified into Straight Departure and Turning Departure (Turn>15degrees)
- It is assumed that aircraft climb straight until reaching 120m(394ft) after takeoff.
- Procedure Design Gradient (PDG) for aircraft Nominal = 3.3% (200ft/NM) (Origin of the climb is assumed to be 5m above Departure End of Runway(DER))
- Obstacle Identification Surface (OIS) Nominal = 2.5%
- Normally no obstacle penetrates this surface.
- In case of penetration:
- Avoid the obstacle by turn, or
- Raise PDG
- If RNAV 1 is required for arrivals:
- If RNAV 1 is required for STAR:
- DME/DME and GNSS is assumed as the navigation sensor.
- Greater of the following two types of areas is applied; GNSS criteria or DME/DME criteria.
- If RNAV 1 is required for APPROACH (*Published as RNAV(GNSS) RWYxx APCH):
- GNSS is assumed as the navigation sensor.
- GNSS Area width is derived not from navigation accuracy, but from RAIM Alert Limit (IMAL).
- ATT (Along-Track Tolerance) = IMAL
- XTT = IMAL + FTT(Flight Technical Tolerance)
- Area semi width = 2 x XTT
- 8.0NM (IAF outside 30NM, Missed Approach WP, DEP)
- 3.0NM (IAF within 30 NM from ARP, IF , Missed Approach WP, DEP)
- 1.2NM (FAF)
- 1.0NM (MAPt)
The fact that an RNAV 1 approach is based on DME/DME thus just means that the accuracy tolerance is higher then for GPS.
The reason your MEL refers to BOTH required when procedure is based on DME/DME, is that it cannot guarantee GPS accuracy thus bases itself on most accurate signal (being DME/DME) being lost for navigational purposes.
Then, if RAIM would be out of tolerance, you would fly blind...