Proof: Do Object Store At Unchanged 1

Let's prove the following theorem:

if the following are true:
  • expression state at time 1 = "begin_expr"
  • Python Object Store at time 1 = [ ]

then Python Object Store at time 2 = [ ]

Proof:

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Given
1 expression state at time 1 = "begin_expr"
2 Python Object Store at time 1 = [ ]
Proof Table
# Claim Reason
1 Python Object Store at time (1 + 1) = Python Object Store at time 1 if expression state at time 1 = "begin_expr", then Python Object Store at time (1 + 1) = Python Object Store at time 1
2 Python Object Store at time (1 + 1) = [ ] if Python Object Store at time (1 + 1) = Python Object Store at time 1 and Python Object Store at time 1 = [ ], then Python Object Store at time (1 + 1) = [ ]
3 1 + 1 = 2 1 + 1 = 2
4 Python Object Store at time (1 + 1) = Python Object Store at time 2 if 1 + 1 = 2, then Python Object Store at time (1 + 1) = Python Object Store at time 2
5 Python Object Store at time 2 = [ ] if Python Object Store at time (1 + 1) = Python Object Store at time 2 and Python Object Store at time (1 + 1) = [ ], then Python Object Store at time 2 = [ ]

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