What is meant is that every mnemonic you write in your assembly file corresponds to a single instruction in machine code. In a way, the assembly file is just a way to represent the machine code in a human readable manner.
Note that this is a simplification. On some machines, some instructions can be represented by more than one mnemonic and some instructions cannot be generated by the assembler. This can happen for example, when there are multiple ways to map a single mnemonic to instructions and the compiler just picks one, leaving the other ways unachievable. For example, on the 8086 you can encode the mnemonic mov ax,bx
both as 89 c3
and 8b d8
and the assembler generally picks one option, leaving the other one unencodable.