theorem Lm22B3: :: FUZZY_8:31

for A being non empty closed_interval Subset of REAL
for a, b, c, d being Real
for f being Function of REAL,REAL st b > 0 & c > 0 & d > 0 & ( for x being Real holds f . x = min (d,(max (0,(b - |.((b * (x - a)) / c).|)))) ) holds
for x being Real st x in A \ ['(a - c),(a + c)'] holds
f . x = 0