Proof: Get Iterate Params 14

Let's prove the following theorem:

if the following are true:
  • expression state at time 14 = "iterate_args"
  • arguments stack at time 14 = [ [ 7, [ 9, [ ] ] ], [ ] ]

then arguments stack at time 15 = [ [ 9, [ ] ], [ ] ]

Proof:

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Given
1 expression state at time 14 = "iterate_args"
2 arguments stack at time 14 = [ [ 7, [ 9, [ ] ] ], [ ] ]
Proof Table
# Claim Reason
1 arguments stack at time (14 + 1) = [ [ 9, [ ] ], [ ] ] if expression state at time 14 = "iterate_args" and arguments stack at time 14 = [ [ 7, [ 9, [ ] ] ], [ ] ], then arguments stack at time (14 + 1) = [ [ 9, [ ] ], [ ] ]
2 14 + 1 = 15 14 + 1 = 15
3 arguments stack at time (14 + 1) = arguments stack at time 15 if 14 + 1 = 15, then arguments stack at time (14 + 1) = arguments stack at time 15
4 arguments stack at time 15 = [ [ 9, [ ] ], [ ] ] if arguments stack at time (14 + 1) = arguments stack at time 15 and arguments stack at time (14 + 1) = [ [ 9, [ ] ], [ ] ], then arguments stack at time 15 = [ [ 9, [ ] ], [ ] ]

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