GILMA is not always GILMA

TO PROVE: GILMA TENDS TO GOLMA DEPENDING ON A PRIMARY FACTOR LIFE
PROOF BY CONTRADICTION:
Lets assume that GILMA is not equal to GOLMA at any point of time.
GILMA != GOLMA (cancelling the like terms on either side)
ILMA != OLMA
IMA != OMA
IA != OA
I != O (at any point of time)
But this is not always true as
At some point of time ‘I’ will become equal to ‘O’
∫(I )dt = ∫(O) dt (when 24 lesser than t lesser than ∞)
I -> O
Thus there exists a case when I tends to O.
Hence proving by contradiction GILMA may become equal to GOLMA as time tends to infinity.