Proof: Do Object Store At Unchanged 41

Let's prove the following theorem:

if the following are true:
  • expression state at time 41 = "begin_expr"
  • Python Object Store at time 41 = [ ]

then Python Object Store at time 42 = [ ]

Proof:

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Given
1 expression state at time 41 = "begin_expr"
2 Python Object Store at time 41 = [ ]
Proof Table
# Claim Reason
1 Python Object Store at time (41 + 1) = Python Object Store at time 41 if expression state at time 41 = "begin_expr", then Python Object Store at time (41 + 1) = Python Object Store at time 41
2 Python Object Store at time (41 + 1) = [ ] if Python Object Store at time (41 + 1) = Python Object Store at time 41 and Python Object Store at time 41 = [ ], then Python Object Store at time (41 + 1) = [ ]
3 41 + 1 = 42 41 + 1 = 42
4 Python Object Store at time (41 + 1) = Python Object Store at time 42 if 41 + 1 = 42, then Python Object Store at time (41 + 1) = Python Object Store at time 42
5 Python Object Store at time 42 = [ ] if Python Object Store at time (41 + 1) = Python Object Store at time 42 and Python Object Store at time (41 + 1) = [ ], then Python Object Store at time 42 = [ ]

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