theorem Th5: :: CARDFIN2:5

for n being Nat
for a, b being Real st a < b holds
ex c being Real st
( c in ].a,b.[ & exp_R a = ((Partial_Sums (Taylor (exp_R,([#] REAL),b,a))) . n) + (((exp_R c) * ((a - b) |^ (n + 1))) / ((n + 1) !)) )