Proof: Get Iterate Expr 44

Let's prove the following theorem:

if the following are true:
  • expression state at time 44 = "iterate_args"
  • arguments stack at time 44 = [ [ __add__(self.x, 5), [ ] ], [ ] ]

then the expression at time 45 = __add__(self.x, 5)

Proof:

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Given
1 expression state at time 44 = "iterate_args"
2 arguments stack at time 44 = [ [ __add__(self.x, 5), [ ] ], [ ] ]
Proof Table
# Claim Reason
1 the expression at time (44 + 1) = __add__(self.x, 5) if expression state at time 44 = "iterate_args" and arguments stack at time 44 = [ [ __add__(self.x, 5), [ ] ], [ ] ], then the expression at time (44 + 1) = __add__(self.x, 5)
2 44 + 1 = 45 44 + 1 = 45
3 the expression at time (44 + 1) = the expression at time 45 if 44 + 1 = 45, then the expression at time (44 + 1) = the expression at time 45
4 the expression at time 45 = __add__(self.x, 5) if the expression at time (44 + 1) = the expression at time 45 and the expression at time (44 + 1) = __add__(self.x, 5), then the expression at time 45 = __add__(self.x, 5)

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