theorem Th26: :: INTEGRA6:26

for a, b, r being Real
for f being PartFunc of REAL,REAL st a <= b & ['a,b'] c= dom f & ( for t being Real st t in ['a,b'] holds
f . t = r ) holds
( f | ['a,b'] is continuous & f | ['a,b'] is bounded & f is_integrable_on ['a,b'] & integral (f,a,b) = r * (b - a) )