Proof: Write Skip Line State 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 1 = a = 7

then expression state at time 12 = "not_expr"

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 1 = a = 7
Proof Table
# Claim Reason
1 1 > 0 1 > 0
2 expression state at time (11 + 1) = "not_expr" if the line at time 11 = 2 and the tab at time 11 = 0 and statement at line 2, tab 1 = a = 7 and 1 > 0, then expression state at time (11 + 1) = "not_expr"
3 11 + 1 = 12 11 + 1 = 12
4 expression state at time (11 + 1) = expression state at time 12 if 11 + 1 = 12, then expression state at time (11 + 1) = expression state at time 12
5 expression state at time 12 = "not_expr" if expression state at time (11 + 1) = expression state at time 12 and expression state at time (11 + 1) = "not_expr", then expression state at time 12 = "not_expr"

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