theorem :: FUZZY_7:16

for a, b, c being Real
for f being Function of REAL,REAL st b > 0 & c > 0 & ( for x being Real holds f . x = b - |.((b * (x - a)) / c).| ) holds
f = ((AffineMap ((b / c),(b - ((a * b) / c)))) | ].-infty,a.]) +* ((AffineMap ((- (b / c)),(b + ((a * b) / c)))) | [.a,+infty.[)