Proof: Get Iterate End State 19

Let's prove the following theorem:

if the following are true:
  • expression state at time 19 = "iterate_args"
  • arguments stack at time 19 = [ [ ], [ ] ]
  • parent stack at time 19 = [ Person("John", "Smith", 25), [ ] ]

then expression state at time 20 = "call_function_begin"

Proof:

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Given
1 expression state at time 19 = "iterate_args"
2 arguments stack at time 19 = [ [ ], [ ] ]
3 parent stack at time 19 = [ Person("John", "Smith", 25), [ ] ]
Proof Table
# Claim Reason
1 expression state at time (19 + 1) = "call_function_begin" if expression state at time 19 = "iterate_args" and arguments stack at time 19 = [ [ ], [ ] ] and parent stack at time 19 = [ Person("John", "Smith", 25), [ ] ], then expression state at time (19 + 1) = "call_function_begin"
2 19 + 1 = 20 19 + 1 = 20
3 expression state at time (19 + 1) = expression state at time 20 if 19 + 1 = 20, then expression state at time (19 + 1) = expression state at time 20
4 expression state at time 20 = "call_function_begin" if expression state at time (19 + 1) = expression state at time 20 and expression state at time (19 + 1) = "call_function_begin", then expression state at time 20 = "call_function_begin"

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