- #1
NoName3
- 25
- 0
I want to know whether the following the counts as a proof that infimum of the set is .
Let , where is some ordered field. Then is such that for any we have and for any number such that we have . I'm not sure as to whether what's below misses the second part of the definition. So, is it enough?
Let , then and .
Let then Thus Hence is strictly decreasing from to . Similarly, let then Hence is strictly decreasing from to . Hence we have which implies that . Thus Is this correct, do I've to use proof?
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