theorem Th4: :: FUZZY_7:21

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