Proof: Maximum Example 2
Let's prove the following theorem:
maximum value in stack [ 3, [ 2, [ 1, [  ] ] ] ] = 3
    
    
    
    Proof:
| # | Claim | Reason | 
|---|---|---|
| 1 | maximum value in stack [ 2, [ 1, [ ] ] ] = 2 | maximum value in stack [ 2, [ 1, [ ] ] ] = 2 | 
| 2 | 3 > maximum value in stack [ 2, [ 1, [ ] ] ] = 3 > 2 | if maximum value in stack [ 2, [ 1, [ ] ] ] = 2, then 3 > maximum value in stack [ 2, [ 1, [ ] ] ] = 3 > 2 | 
| 3 | 3 > 2 | 3 > 2 | 
| 4 | 3 > maximum value in stack [ 2, [ 1, [ ] ] ] | if 3 > 2 and 3 > maximum value in stack [ 2, [ 1, [ ] ] ] = 3 > 2, then 3 > maximum value in stack [ 2, [ 1, [ ] ] ] | 
| 5 | maximum value in stack [ 3, [ 2, [ 1, [ ] ] ] ] = 3 | if 3 > maximum value in stack [ 2, [ 1, [ ] ] ], then maximum value in stack [ 3, [ 2, [ 1, [ ] ] ] ] = 3 | 
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