Proof: Do Line At Unchanged 70

Let's prove the following theorem:

if the following are true:
  • expression state at time 70 = "begin_expr"
  • the line at time 70 = 7

then the line at time 71 = 7

Proof:

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Given
1 expression state at time 70 = "begin_expr"
2 the line at time 70 = 7
Proof Table
# Claim Reason
1 the line at time (70 + 1) = the line at time 70 if expression state at time 70 = "begin_expr", then the line at time (70 + 1) = the line at time 70
2 the line at time (70 + 1) = 7 if the line at time (70 + 1) = the line at time 70 and the line at time 70 = 7, then the line at time (70 + 1) = 7
3 70 + 1 = 71 70 + 1 = 71
4 the line at time (70 + 1) = the line at time 71 if 70 + 1 = 71, then the line at time (70 + 1) = the line at time 71
5 the line at time 71 = 7 if the line at time (70 + 1) = the line at time 71 and the line at time (70 + 1) = 7, then the line at time 71 = 7

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