Proof: Do Arg Stack At Unchanged 54

Let's prove the following theorem:

if the following are true:
  • expression state at time 54 = "return"
  • arguments stack at time 54 = [ [ ], [ ] ]

then arguments stack at time 55 = [ [ ], [ ] ]

Proof:

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Given
1 expression state at time 54 = "return"
2 arguments stack at time 54 = [ [ ], [ ] ]
Proof Table
# Claim Reason
1 arguments stack at time (54 + 1) = arguments stack at time 54 if expression state at time 54 = "return", then arguments stack at time (54 + 1) = arguments stack at time 54
2 arguments stack at time (54 + 1) = [ [ ], [ ] ] if arguments stack at time (54 + 1) = arguments stack at time 54 and arguments stack at time 54 = [ [ ], [ ] ], then arguments stack at time (54 + 1) = [ [ ], [ ] ]
3 54 + 1 = 55 54 + 1 = 55
4 arguments stack at time (54 + 1) = arguments stack at time 55 if 54 + 1 = 55, then arguments stack at time (54 + 1) = arguments stack at time 55
5 arguments stack at time 55 = [ [ ], [ ] ] if arguments stack at time (54 + 1) = arguments stack at time 55 and arguments stack at time (54 + 1) = [ [ ], [ ] ], then arguments stack at time 55 = [ [ ], [ ] ]

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