Proof: Get Iterate Parent 16

Let's prove the following theorem:

if the following are true:
  • expression state at time 16 = "iterate_args"
  • arguments stack at time 16 = [ [ 25, [ ] ], [ ] ]
  • parent stack at time 16 = [ Person("John", "Smith", 25), [ ] ]

then parent stack at time 17 = [ Person("John", "Smith", 25), [ ] ]

Proof:

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Given
1 expression state at time 16 = "iterate_args"
2 arguments stack at time 16 = [ [ 25, [ ] ], [ ] ]
3 parent stack at time 16 = [ Person("John", "Smith", 25), [ ] ]
Proof Table
# Claim Reason
1 parent stack at time (16 + 1) = parent stack at time 16 if expression state at time 16 = "iterate_args" and arguments stack at time 16 = [ [ 25, [ ] ], [ ] ], then parent stack at time (16 + 1) = parent stack at time 16
2 parent stack at time (16 + 1) = [ Person("John", "Smith", 25), [ ] ] if parent stack at time (16 + 1) = parent stack at time 16 and parent stack at time 16 = [ Person("John", "Smith", 25), [ ] ], then parent stack at time (16 + 1) = [ Person("John", "Smith", 25), [ ] ]
3 16 + 1 = 17 16 + 1 = 17
4 parent stack at time (16 + 1) = parent stack at time 17 if 16 + 1 = 17, then parent stack at time (16 + 1) = parent stack at time 17
5 parent stack at time 17 = [ Person("John", "Smith", 25), [ ] ] if parent stack at time (16 + 1) = parent stack at time 17 and parent stack at time (16 + 1) = [ Person("John", "Smith", 25), [ ] ], then parent stack at time 17 = [ Person("John", "Smith", 25), [ ] ]

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