Proof: Write Stmt Control Map At Unchanged 11

Let's prove the following theorem:

if the following are true:
  • the line at time 11 = 2
  • the tab at time 11 = 1
  • statement at line 2, tab 1 = a = 7
  • Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ]

then Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ]

Proof:

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Given
1 the line at time 11 = 2
2 the tab at time 11 = 1
3 statement at line 2, tab 1 = a = 7
4 Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ]
Proof Table
# Claim Reason
1 Control Map at time (11 + 1) = Control Map at time 11 if the line at time 11 = 2 and the tab at time 11 = 1 and statement at line 2, tab 1 = a = 7, then Control Map at time (11 + 1) = Control Map at time 11
2 Control Map at time (11 + 1) = [ entry 0: (pair ("if", True)), [ ] ] if Control Map at time (11 + 1) = Control Map at time 11 and Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ], then Control Map at time (11 + 1) = [ entry 0: (pair ("if", True)), [ ] ]
3 11 + 1 = 12 11 + 1 = 12
4 Control Map at time (11 + 1) = Control Map at time 12 if 11 + 1 = 12, then Control Map at time (11 + 1) = Control Map at time 12
5 Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ] if Control Map at time (11 + 1) = Control Map at time 12 and Control Map at time (11 + 1) = [ entry 0: (pair ("if", True)), [ ] ], then Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ]

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