Proof: Do Line At Unchanged 60

Let's prove the following theorem:

if the following are true:
  • expression state at time 60 = "begin_expr"
  • the line at time 60 = 7

then the line at time 61 = 7

Proof:

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Given
1 expression state at time 60 = "begin_expr"
2 the line at time 60 = 7
Proof Table
# Claim Reason
1 the line at time (60 + 1) = the line at time 60 if expression state at time 60 = "begin_expr", then the line at time (60 + 1) = the line at time 60
2 the line at time (60 + 1) = 7 if the line at time (60 + 1) = the line at time 60 and the line at time 60 = 7, then the line at time (60 + 1) = 7
3 60 + 1 = 61 60 + 1 = 61
4 the line at time (60 + 1) = the line at time 61 if 60 + 1 = 61, then the line at time (60 + 1) = the line at time 61
5 the line at time 61 = 7 if the line at time (60 + 1) = the line at time 61 and the line at time (60 + 1) = 7, then the line at time 61 = 7

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