To portably negate a complex conditional in shell, you must either apply De Morgan's law and push the negation all the way down inside the [ calls...

if [ ! -f file1 ] || [ ! -f file2 ] || [ ! -f file3 ]
then
    # do stuff
fi

... or you must use then :; else ...

if [ -f file1 ] && [ -f file2 ] && [ -f file3 ]
then :
else
  # do stuff
fi

if ! command is not portably available and neither is [[.

If you don't need total portability, don't write a shell script. You're actually more likely to find /usr/bin/perl on a randomly selected Unix than you are bash.

To portably negate a complex conditional in shell, you must either apply De Morgan's law and push the negation all the way down inside the [ calls...

if [ ! -f file1 ] || [ ! -f file2 ] || [ ! -f file3 ]
then
    # do stuff
fi

... or you must use then :; else ...

if [ -f file1 ] && [ -f file2 ] && [ -f file3 ]
then :
else
  # do stuff
fi

if ! command is not portably available and neither is [[.

If you don't need total portability, don't write a shell script. You're actually more likely to find /usr/bin/perl on a randomly selected Unix than you are bash.