theorem :: DIFF_3:69

for x0, x1 being Real
for f being Function of REAL,REAL st ( for x being Real holds f . x = 1 / ((sin x) ^2) ) & x0 <> x1 & sin x0 <> 0 & sin x1 <> 0 holds
[!f,x0,x1!] = ((((16 * (cos ((x1 + x0) / 2))) * (sin ((x1 - x0) / 2))) * (cos ((x1 - x0) / 2))) * (sin ((x1 + x0) / 2))) / ((((cos (x0 + x1)) - (cos (x0 - x1))) ^2) * (x0 - x1))