Proof: Do Line At Unchanged 35

Let's prove the following theorem:

if the following are true:
  • expression state at time 35 = "begin_expr"
  • the line at time 35 = 4

then the line at time 36 = 4

Proof:

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Given
1 expression state at time 35 = "begin_expr"
2 the line at time 35 = 4
Proof Table
# Claim Reason
1 the line at time (35 + 1) = the line at time 35 if expression state at time 35 = "begin_expr", then the line at time (35 + 1) = the line at time 35
2 the line at time (35 + 1) = 4 if the line at time (35 + 1) = the line at time 35 and the line at time 35 = 4, then the line at time (35 + 1) = 4
3 35 + 1 = 36 35 + 1 = 36
4 the line at time (35 + 1) = the line at time 36 if 35 + 1 = 36, then the line at time (35 + 1) = the line at time 36
5 the line at time 36 = 4 if the line at time (35 + 1) = the line at time 36 and the line at time (35 + 1) = 4, then the line at time 36 = 4

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