Proof: Divide Both
Let's prove the following theorem:
if the following are true:
- a / b = c / d
- d = e
then a / b = c / e
Proof:
Given
| 1 | a / b = c / d |
|---|---|
| 2 | d = e |
| # | Claim | Reason |
|---|---|---|
| 1 | c / d = c / e | if d = e, then c / d = c / e |
| 2 | a / b = c / e | if a / b = c / d and c / d = c / e, then a / b = c / e |
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