Proof: Do Line At Unchanged 16

Let's prove the following theorem:

if the following are true:
  • expression state at time 16 = "begin_expr"
  • the line at time 16 = 1

then the line at time 17 = 1

Proof:

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Given
1 expression state at time 16 = "begin_expr"
2 the line at time 16 = 1
Proof Table
# Claim Reason
1 the line at time (16 + 1) = the line at time 16 if expression state at time 16 = "begin_expr", then the line at time (16 + 1) = the line at time 16
2 the line at time (16 + 1) = 1 if the line at time (16 + 1) = the line at time 16 and the line at time 16 = 1, then the line at time (16 + 1) = 1
3 16 + 1 = 17 16 + 1 = 17
4 the line at time (16 + 1) = the line at time 17 if 16 + 1 = 17, then the line at time (16 + 1) = the line at time 17
5 the line at time 17 = 1 if the line at time (16 + 1) = the line at time 17 and the line at time (16 + 1) = 1, then the line at time 17 = 1

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