how to prove that greatest lower bound is unique?

[RachelP]

How do I prove that the greatest lower bound (glbS) is unique?

 

[pka]

How do I prove that the greatest lower bound (glbS) is unique?

Suppose that there are two.
See what happens.

 

[RachelP]

Actually, I had done that, but I don't know where to go from there.

 

[pka]

What is the definition of greatest lower bound?
If t=glb(A) then t is a lower bound of A and if s is also a lower bound of A then \(\displaystyle s \le t.\)