Proof: Do Object Store At Unchanged 15

Let's prove the following theorem:

if the following are true:
  • expression state at time 15 = "begin_expr"
  • Python Object Store at time 15 = [ ]

then Python Object Store at time 16 = [ ]

Proof:

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Given
1 expression state at time 15 = "begin_expr"
2 Python Object Store at time 15 = [ ]
Proof Table
# Claim Reason
1 Python Object Store at time (15 + 1) = Python Object Store at time 15 if expression state at time 15 = "begin_expr", then Python Object Store at time (15 + 1) = Python Object Store at time 15
2 Python Object Store at time (15 + 1) = [ ] if Python Object Store at time (15 + 1) = Python Object Store at time 15 and Python Object Store at time 15 = [ ], then Python Object Store at time (15 + 1) = [ ]
3 15 + 1 = 16 15 + 1 = 16
4 Python Object Store at time (15 + 1) = Python Object Store at time 16 if 15 + 1 = 16, then Python Object Store at time (15 + 1) = Python Object Store at time 16
5 Python Object Store at time 16 = [ ] if Python Object Store at time (15 + 1) = Python Object Store at time 16 and Python Object Store at time (15 + 1) = [ ], then Python Object Store at time 16 = [ ]

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