:: deftheorem Def11 defines mindex DICKSON:def 11 :
for f being Function
for b being set st dom f = NAT & b in rng f holds
for b3 being Element of NAT holds
( b3 = f mindex b iff ( f . b3 = b & ( for i being Element of NAT st f . i = b holds
b3 <= i ) ) );