Proof: Get Iterate End Expr 72

Let's prove the following theorem:

if the following are true:
  • expression state at time 72 = "iterate_args"
  • arguments stack at time 72 = [ [ ], [ ] ]
  • parent stack at time 72 = [ __mul__(self.age, 12), [ ] ]

then the expression at time 73 = __mul__(self.age, 12)

Proof:

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Given
1 expression state at time 72 = "iterate_args"
2 arguments stack at time 72 = [ [ ], [ ] ]
3 parent stack at time 72 = [ __mul__(self.age, 12), [ ] ]
Proof Table
# Claim Reason
1 the expression at time (72 + 1) = __mul__(self.age, 12) if expression state at time 72 = "iterate_args" and arguments stack at time 72 = [ [ ], [ ] ] and parent stack at time 72 = [ __mul__(self.age, 12), [ ] ], then the expression at time (72 + 1) = __mul__(self.age, 12)
2 72 + 1 = 73 72 + 1 = 73
3 the expression at time (72 + 1) = the expression at time 73 if 72 + 1 = 73, then the expression at time (72 + 1) = the expression at time 73
4 the expression at time 73 = __mul__(self.age, 12) if the expression at time (72 + 1) = the expression at time 73 and the expression at time (72 + 1) = __mul__(self.age, 12), then the expression at time 73 = __mul__(self.age, 12)

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