Proof: Write Stmt Class Defs 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 = 0
  • statement at line 2, tab 0 = while __lt__(a, 2):
  • Class Map at time 11 = [ ]

then Class Map at time 12 = [ ]

Proof:

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Given
1 the line at time 11 = 2
2 the tab at time 11 = 0
3 statement at line 2, tab 0 = while __lt__(a, 2):
4 Class Map at time 11 = [ ]
Proof Table
# Claim Reason
1 Class Map at time (11 + 1) = Class Map at time 11 if the line at time 11 = 2 and the tab at time 11 = 0 and statement at line 2, tab 0 = while __lt__(a, 2):, then Class Map at time (11 + 1) = Class Map at time 11
2 Class Map at time (11 + 1) = [ ] if Class Map at time (11 + 1) = Class Map at time 11 and Class Map at time 11 = [ ], then Class Map at time (11 + 1) = [ ]
3 11 + 1 = 12 11 + 1 = 12
4 Class Map at time (11 + 1) = Class Map at time 12 if 11 + 1 = 12, then Class Map at time (11 + 1) = Class Map at time 12
5 Class Map at time 12 = [ ] if Class Map at time (11 + 1) = Class Map at time 12 and Class Map at time (11 + 1) = [ ], then Class Map at time 12 = [ ]

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