Proof: Double Inequality 2
Let's prove the following theorem:
if the following are true:
- a > b
- a = c
- b = d
then c > d
Proof:
Given
| 1 | a > b |
|---|---|
| 2 | a = c |
| 3 | b = d |
| # | Claim | Reason |
|---|---|---|
| 1 | c = a | if a = c, then c = a |
| 2 | d = b | if b = d, then d = b |
| 3 | c > d | if d = b and c = a and a > b, then c > d |
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