Proof: Get Iterate End Parent 66

Let's prove the following theorem:

if the following are true:
  • expression state at time 66 = "iterate_args"
  • arguments stack at time 66 = [ [ ], [ [ 12, [ ] ], [ ] ] ]
  • parent stack at time 66 = [ self.age, [ __mul__(self.age, 12), [ ] ] ]

then parent stack at time 67 = [ __mul__(self.age, 12), [ ] ]

Proof:

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Given
1 expression state at time 66 = "iterate_args"
2 arguments stack at time 66 = [ [ ], [ [ 12, [ ] ], [ ] ] ]
3 parent stack at time 66 = [ self.age, [ __mul__(self.age, 12), [ ] ] ]
Proof Table
# Claim Reason
1 parent stack at time (66 + 1) = [ __mul__(self.age, 12), [ ] ] if expression state at time 66 = "iterate_args" and arguments stack at time 66 = [ [ ], [ [ 12, [ ] ], [ ] ] ] and parent stack at time 66 = [ self.age, [ __mul__(self.age, 12), [ ] ] ], then parent stack at time (66 + 1) = [ __mul__(self.age, 12), [ ] ]
2 66 + 1 = 67 66 + 1 = 67
3 parent stack at time (66 + 1) = parent stack at time 67 if 66 + 1 = 67, then parent stack at time (66 + 1) = parent stack at time 67
4 parent stack at time 67 = [ __mul__(self.age, 12), [ ] ] if parent stack at time (66 + 1) = parent stack at time 67 and parent stack at time (66 + 1) = [ __mul__(self.age, 12), [ ] ], then parent stack at time 67 = [ __mul__(self.age, 12), [ ] ]

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