Proof: Get Iterate Params 13

Let's prove the following theorem:

if the following are true:
  • expression state at time 13 = "iterate_args"
  • arguments stack at time 13 = [ [ "Smith", [ 25, [ ] ] ], [ ] ]

then arguments stack at time 14 = [ [ 25, [ ] ], [ ] ]

Proof:

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Given
1 expression state at time 13 = "iterate_args"
2 arguments stack at time 13 = [ [ "Smith", [ 25, [ ] ] ], [ ] ]
Proof Table
# Claim Reason
1 arguments stack at time (13 + 1) = [ [ 25, [ ] ], [ ] ] if expression state at time 13 = "iterate_args" and arguments stack at time 13 = [ [ "Smith", [ 25, [ ] ] ], [ ] ], then arguments stack at time (13 + 1) = [ [ 25, [ ] ], [ ] ]
2 13 + 1 = 14 13 + 1 = 14
3 arguments stack at time (13 + 1) = arguments stack at time 14 if 13 + 1 = 14, then arguments stack at time (13 + 1) = arguments stack at time 14
4 arguments stack at time 14 = [ [ 25, [ ] ], [ ] ] if arguments stack at time (13 + 1) = arguments stack at time 14 and arguments stack at time (13 + 1) = [ [ 25, [ ] ], [ ] ], then arguments stack at time 14 = [ [ 25, [ ] ], [ ] ]

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