theorem :: DIFF_3:65

for x0, x1 being Real
for f being Function of REAL,REAL st ( for x being Real holds f . x = 1 / (cos x) ) & x0 <> x1 & cos x0 <> 0 & cos x1 <> 0 holds
[!f,x0,x1!] = ((2 * ((cos x1) - (cos x0))) / ((cos (x0 + x1)) + (cos (x0 - x1)))) / (x0 - x1)