Proof: Write Skip Line Control Map At 14

Let's prove the following theorem:

if the following are true:
  • the line at time 14 = 4
  • the tab at time 14 = 0
  • statement at line 4, tab 1 = a = 9
  • Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ]

then Control Map at time 15 = [ entry 0: (pair ("if", True)), [ ] ]

Proof:

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Given
1 the line at time 14 = 4
2 the tab at time 14 = 0
3 statement at line 4, tab 1 = a = 9
4 Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ]
Proof Table
# Claim Reason
1 1 > 0 1 > 0
2 Control Map at time (14 + 1) = Control Map at time 14 if the line at time 14 = 4 and the tab at time 14 = 0 and statement at line 4, tab 1 = a = 9 and 1 > 0, then Control Map at time (14 + 1) = Control Map at time 14
3 Control Map at time (14 + 1) = [ entry 0: (pair ("if", True)), [ ] ] if Control Map at time (14 + 1) = Control Map at time 14 and Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ], then Control Map at time (14 + 1) = [ entry 0: (pair ("if", True)), [ ] ]
4 14 + 1 = 15 14 + 1 = 15
5 Control Map at time (14 + 1) = Control Map at time 15 if 14 + 1 = 15, then Control Map at time (14 + 1) = Control Map at time 15
6 Control Map at time 15 = [ entry 0: (pair ("if", True)), [ ] ] if Control Map at time (14 + 1) = Control Map at time 15 and Control Map at time (14 + 1) = [ entry 0: (pair ("if", True)), [ ] ], then Control Map at time 15 = [ entry 0: (pair ("if", True)), [ ] ]

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