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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