theorem asymTT50: :: FUZZY_5:80

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