# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000):
# { [i] -> [j] : 1 <= i <= 9 } subset { [i] -> [j] : 1 <= i <= 11 };

True
# 
# 
# { [i] -> [j] : 1 <= i <= 9 } subset { [i] -> [j] : 1 <= i <= 7 };

False
#