Proof: Write Stmt Control Map At Unchanged Expr1

Let's prove the following theorem:

if the following are true:
  • the line at time 1 = 2
  • the tab at time 1 = 0
  • statement at line 2, tab 0 = while __lt__(a, 2):
  • expression state at time 1 = "not_expr"
  • Control Map at time 1 = [ ]

then Control Map at time 2 = [ ]

Proof:

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Given
1 the line at time 1 = 2
2 the tab at time 1 = 0
3 statement at line 2, tab 0 = while __lt__(a, 2):
4 expression state at time 1 = "not_expr"
5 Control Map at time 1 = [ ]
Proof Table
# Claim Reason
1 Control Map at time (1 + 1) = Control Map at time 1 if the line at time 1 = 2 and the tab at time 1 = 0 and statement at line 2, tab 0 = while __lt__(a, 2): and expression state at time 1 = "not_expr", then Control Map at time (1 + 1) = Control Map at time 1
2 Control Map at time (1 + 1) = [ ] if Control Map at time (1 + 1) = Control Map at time 1 and Control Map at time 1 = [ ], then Control Map at time (1 + 1) = [ ]
3 1 + 1 = 2 1 + 1 = 2
4 Control Map at time (1 + 1) = Control Map at time 2 if 1 + 1 = 2, then Control Map at time (1 + 1) = Control Map at time 2
5 Control Map at time 2 = [ ] if Control Map at time (1 + 1) = Control Map at time 2 and Control Map at time (1 + 1) = [ ], then Control Map at time 2 = [ ]

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