Proof: Maximum Example 2

Let's prove the following theorem:

maximum value in stack [ 3, [ 2, [ 1, [ ] ] ] ] = 3

Proof:

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Proof Table
# 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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