Here is a problem from Kenneth Rosen's Discrete Mathematics and its Applications, Section 1.3
Construct a compound proposition that asserts that every cell of a 9 × 9 Sudoku puzzle contains at least one number.
This is a homework problem and I am not expecting a complete answer.
p is Sudoku puzzle and
for all c, (c is cell and c in p
implies exists n with (n is digit and n in c))