Proof: Do Object Store At Unchanged 50

Let's prove the following theorem:

if the following are true:
  • expression state at time 50 = "begin_expr"
  • Python Object Store at time 50 = [ ]

then Python Object Store at time 51 = [ ]

Proof:

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Given
1 expression state at time 50 = "begin_expr"
2 Python Object Store at time 50 = [ ]
Proof Table
# Claim Reason
1 Python Object Store at time (50 + 1) = Python Object Store at time 50 if expression state at time 50 = "begin_expr", then Python Object Store at time (50 + 1) = Python Object Store at time 50
2 Python Object Store at time (50 + 1) = [ ] if Python Object Store at time (50 + 1) = Python Object Store at time 50 and Python Object Store at time 50 = [ ], then Python Object Store at time (50 + 1) = [ ]
3 50 + 1 = 51 50 + 1 = 51
4 Python Object Store at time (50 + 1) = Python Object Store at time 51 if 50 + 1 = 51, then Python Object Store at time (50 + 1) = Python Object Store at time 51
5 Python Object Store at time 51 = [ ] if Python Object Store at time (50 + 1) = Python Object Store at time 51 and Python Object Store at time (50 + 1) = [ ], then Python Object Store at time 51 = [ ]

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