Proof: Get Iterate Parent 27

Let's prove the following theorem:

if the following are true:
  • expression state at time 27 = "iterate_args"
  • arguments stack at time 27 = [ [ 0, [ ] ], [ ] ]
  • parent stack at time 27 = [ self."y" = 0, [ ] ]

then parent stack at time 28 = [ self."y" = 0, [ ] ]

Proof:

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Given
1 expression state at time 27 = "iterate_args"
2 arguments stack at time 27 = [ [ 0, [ ] ], [ ] ]
3 parent stack at time 27 = [ self."y" = 0, [ ] ]
Proof Table
# Claim Reason
1 parent stack at time (27 + 1) = parent stack at time 27 if expression state at time 27 = "iterate_args" and arguments stack at time 27 = [ [ 0, [ ] ], [ ] ], then parent stack at time (27 + 1) = parent stack at time 27
2 parent stack at time (27 + 1) = [ self."y" = 0, [ ] ] if parent stack at time (27 + 1) = parent stack at time 27 and parent stack at time 27 = [ self."y" = 0, [ ] ], then parent stack at time (27 + 1) = [ self."y" = 0, [ ] ]
3 27 + 1 = 28 27 + 1 = 28
4 parent stack at time (27 + 1) = parent stack at time 28 if 27 + 1 = 28, then parent stack at time (27 + 1) = parent stack at time 28
5 parent stack at time 28 = [ self."y" = 0, [ ] ] if parent stack at time (27 + 1) = parent stack at time 28 and parent stack at time (27 + 1) = [ self."y" = 0, [ ] ], then parent stack at time 28 = [ self."y" = 0, [ ] ]

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