Application for StringDelete

I have a list of strings:

lis:= {{"123 abc def 456"}, {"ghi jkl 789"}, {"012 mno pqr"}}

and I would like to remove digit characters from the beginning of each string (that has them) to give:

res:={{abc def 456"}, {"ghi jkl 789"}, {"mno pqr"}}

Thanks for suggestions!