Proof: Reverse One Element List

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	reverse of [ x, [ ] ] = reverse of remaining stack [ x, [ ] ] and already reversed stack [ ]	reverse of [ x, [ ] ] = reverse of remaining stack [ x, [ ] ] and already reversed stack [ ] (Reversing a List Property 1)
2	reverse of remaining stack [ x, [ ] ] and already reversed stack [ ] = [ x, [ ] ]	reverse of remaining stack [ x, [ ] ] and already reversed stack [ ] = [ x, [ ] ] (Reversing a List Property 4)
3	reverse of [ x, [ ] ] = [ x, [ ] ]	if reverse of [ x, [ ] ] = reverse of remaining stack [ x, [ ] ] and already reversed stack [ ] and reverse of remaining stack [ x, [ ] ] and already reversed stack [ ] = [ x, [ ] ], then reverse of [ x, [ ] ] = [ x, [ ] ] (Transitive Property of Equality)

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