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