Proof: Do Line At Unchanged 67

Let's prove the following theorem:

if the following are true:
  • expression state at time 67 = "begin_expr"
  • the line at time 67 = 12

then the line at time 68 = 12

Proof:

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Given
1 expression state at time 67 = "begin_expr"
2 the line at time 67 = 12
Proof Table
# Claim Reason
1 the line at time (67 + 1) = the line at time 67 if expression state at time 67 = "begin_expr", then the line at time (67 + 1) = the line at time 67
2 the line at time (67 + 1) = 12 if the line at time (67 + 1) = the line at time 67 and the line at time 67 = 12, then the line at time (67 + 1) = 12
3 67 + 1 = 68 67 + 1 = 68
4 the line at time (67 + 1) = the line at time 68 if 67 + 1 = 68, then the line at time (67 + 1) = the line at time 68
5 the line at time 68 = 12 if the line at time (67 + 1) = the line at time 68 and the line at time (67 + 1) = 12, then the line at time 68 = 12

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