Proof: Greater Than Transitive Property Pre
Let's prove the following theorem:
if the following are true:
- a > b
- b > c
then c < a
Proof:
Given
| 1 | a > b |
|---|---|
| 2 | b > c |
| # | Claim | Reason |
|---|---|---|
| 1 | b < a | if a > b, then b < a |
| 2 | c < b | if b > c, then c < b |
| 3 | c < a | if b < a and c < b, then c < a |
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