Proof: Get Iterate Parent 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), [ ] ], [ ] ]
  • parent stack at time 44 = [ self."x" = __add__(self.x, 5), [ ] ]

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

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