Proof: Get Iterate End Parent 39

Let's prove the following theorem:

if the following are true:
  • expression state at time 39 = "iterate_args"
  • arguments stack at time 39 = [ [ ], [ ] ]
  • parent stack at time 39 = [ self."last_name" = last_name, [ ] ]

then parent stack at time 40 = [ ]

Proof:

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Given
1 expression state at time 39 = "iterate_args"
2 arguments stack at time 39 = [ [ ], [ ] ]
3 parent stack at time 39 = [ self."last_name" = last_name, [ ] ]
Proof Table
# Claim Reason
1 parent stack at time (39 + 1) = [ ] if expression state at time 39 = "iterate_args" and arguments stack at time 39 = [ [ ], [ ] ] and parent stack at time 39 = [ self."last_name" = last_name, [ ] ], then parent stack at time (39 + 1) = [ ]
2 39 + 1 = 40 39 + 1 = 40
3 parent stack at time (39 + 1) = parent stack at time 40 if 39 + 1 = 40, then parent stack at time (39 + 1) = parent stack at time 40
4 parent stack at time 40 = [ ] if parent stack at time (39 + 1) = parent stack at time 40 and parent stack at time (39 + 1) = [ ], then parent stack at time 40 = [ ]

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