Proof: Reverse One

Let's prove the following theorem:

reverse of [ [ 0, [ ] ], [ ] ] = [ [ 0, [ ] ], [ ] ]

Proof:

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Proof Table
# Claim Reason
1 reverse of [ [ 0, [ ] ], [ ] ] = reverse of remaining stack [ [ 0, [ ] ], [ ] ] and already reversed stack [ ] reverse of [ [ 0, [ ] ], [ ] ] = reverse of remaining stack [ [ 0, [ ] ], [ ] ] and already reversed stack [ ]
2 reverse of remaining stack [ [ 0, [ ] ], [ ] ] and already reversed stack [ ] = [ [ 0, [ ] ], [ ] ] reverse of remaining stack [ [ 0, [ ] ], [ ] ] and already reversed stack [ ] = [ [ 0, [ ] ], [ ] ]
3 reverse of [ [ 0, [ ] ], [ ] ] = [ [ 0, [ ] ], [ ] ] if reverse of [ [ 0, [ ] ], [ ] ] = reverse of remaining stack [ [ 0, [ ] ], [ ] ] and already reversed stack [ ] and reverse of remaining stack [ [ 0, [ ] ], [ ] ] and already reversed stack [ ] = [ [ 0, [ ] ], [ ] ], then reverse of [ [ 0, [ ] ], [ ] ] = [ [ 0, [ ] ], [ ] ]

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