Proof: Get Iterate Parent 63

Let's prove the following theorem:

if the following are true:
  • expression state at time 63 = "iterate_args"
  • arguments stack at time 63 = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ]
  • parent stack at time 63 = [ self.age, [ __mul__(self.age, 12), [ ] ] ]

then parent stack at time 64 = [ self.age, [ __mul__(self.age, 12), [ ] ] ]

Proof:

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Given
1 expression state at time 63 = "iterate_args"
2 arguments stack at time 63 = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ]
3 parent stack at time 63 = [ self.age, [ __mul__(self.age, 12), [ ] ] ]
Proof Table
# Claim Reason
1 parent stack at time (63 + 1) = parent stack at time 63 if expression state at time 63 = "iterate_args" and arguments stack at time 63 = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ], then parent stack at time (63 + 1) = parent stack at time 63
2 parent stack at time (63 + 1) = [ self.age, [ __mul__(self.age, 12), [ ] ] ] if parent stack at time (63 + 1) = parent stack at time 63 and parent stack at time 63 = [ self.age, [ __mul__(self.age, 12), [ ] ] ], then parent stack at time (63 + 1) = [ self.age, [ __mul__(self.age, 12), [ ] ] ]
3 63 + 1 = 64 63 + 1 = 64
4 parent stack at time (63 + 1) = parent stack at time 64 if 63 + 1 = 64, then parent stack at time (63 + 1) = parent stack at time 64
5 parent stack at time 64 = [ self.age, [ __mul__(self.age, 12), [ ] ] ] if parent stack at time (63 + 1) = parent stack at time 64 and parent stack at time (63 + 1) = [ self.age, [ __mul__(self.age, 12), [ ] ] ], then parent stack at time 64 = [ self.age, [ __mul__(self.age, 12), [ ] ] ]

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