Proof: Do Line At Unchanged 3

Let's prove the following theorem:

if the following are true:
  • expression state at time 3 = "begin_expr"
  • the line at time 3 = 1

then the line at time 4 = 1

Proof:

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

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