That just looks like some overly verbose outout from a disassembler.
Quoting from Intel's manual (the section named String Instructions):
By default, the ESI register addresses the segment identified with the DS segment register. ... The EDI register
addresses the segment identified with the ES segment register.
...
The MOVS instruction moves the string element addressed by the ESI register to the location addressed by the EDI register. The assembler recognizes three “short forms” of this instruction, which specify the size of the string to be
moved: MOVSB (move byte string), MOVSW (move word string), and MOVSD (move doubleword string).
So if we apply that information we end up with:
; DWORD operands means movsd, ds:[esi] is the default source, and
; es:[edi] is the default destination
rep movsd
Note: in the description for MOVS in Intel's manual, MOVS m32, m32 is listed as supported. They call this the “explicit-operands” form of the instruction. It only serves a documentational purpose, since the only allowed source is [(R|E)SI] and the only allowed destination is [(R|E)DI]. I don't know whether or not NASM supports the explicit-operands form, or what the syntax for it is in that case.