Proof: Do Reverse 25 2

Let's prove the following theorem:

reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ]

Proof:

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Proof Table

#	Claim	Reason
1	reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = reverse of remaining stack [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] and already reversed stack [ ]	reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = reverse of remaining stack [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] and already reversed stack [ ] (Reversing a List Property 1)
2	reverse of remaining stack [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] and already reversed stack [ ] = reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ]	reverse of remaining stack [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] and already reversed stack [ ] = reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ] (Reversing a List Property 3)
3	reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ] = [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ]	reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ] = [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ] (Reversing a List Property 4)
4	reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ]	if reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = reverse of remaining stack [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] and already reversed stack [ ] and reverse of remaining stack [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] and already reversed stack [ ] = reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ], then reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ] (Transitive Property of Equality)
5	reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ]	if reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ] and reverse of remaining stack [ entry "ES": "Estonia", [ ] ] and already reversed stack [ entry "MX": "Mexico", [ ] ] = [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ], then reverse of [ entry "MX": "Mexico", [ entry "ES": "Estonia", [ ] ] ] = [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ] (Transitive Property of Equality)

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