Proof: Get Iterate End Expr 60

Let's prove the following theorem:

if the following are true:
  • expression state at time 60 = "iterate_args"
  • arguments stack at time 60 = [ [ ], [ ] ]
  • parent stack at time 60 = [ self."x" = __add__(self.x, 5), [ ] ]

then the expression at time 61 = self."x" = __add__(self.x, 5)

Proof:

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Given
1 expression state at time 60 = "iterate_args"
2 arguments stack at time 60 = [ [ ], [ ] ]
3 parent stack at time 60 = [ self."x" = __add__(self.x, 5), [ ] ]
Proof Table
# Claim Reason
1 the expression at time (60 + 1) = self."x" = __add__(self.x, 5) if expression state at time 60 = "iterate_args" and arguments stack at time 60 = [ [ ], [ ] ] and parent stack at time 60 = [ self."x" = __add__(self.x, 5), [ ] ], then the expression at time (60 + 1) = self."x" = __add__(self.x, 5)
2 60 + 1 = 61 60 + 1 = 61
3 the expression at time (60 + 1) = the expression at time 61 if 60 + 1 = 61, then the expression at time (60 + 1) = the expression at time 61
4 the expression at time 61 = self."x" = __add__(self.x, 5) if the expression at time (60 + 1) = the expression at time 61 and the expression at time (60 + 1) = self."x" = __add__(self.x, 5), then the expression at time 61 = self."x" = __add__(self.x, 5)

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