I need help with proving the foloowing: i solve it but i don\'t think i got the

ID: 2900837 • Letter: I

Question

I need help with proving the foloowing:

i solve it but i don't think i got the right answer: THIS IS MY SOLUTION:

proof by contradiction: for n = 2, a < a^n = a < a ^2 which is true

for n = 3 = a < a^3 which is also true and go on with numbers

suppose that the statement right that a < a^n at level n

we need to prove that a < a ^ (n+1) is true at level n+1

so a < a^n = a< a ^(n+1)

= a< a^n X a^1

= aX a < a

= a^2 < a = a< 1

That's my SOLUTION so can any one please help me to check my answer?

I have written the answer on a paper and uploaded as 2 pictures at the following links:

Part-1: http://i.imgur.com/ASHHdmC.jpg

Part-2: http://i.imgur.com/rckAwSl.jpg