Proof: Do Line At Unchanged 36

Let's prove the following theorem:

if the following are true:
  • expression state at time 36 = "begin_expr"
  • the line at time 36 = 2

then the line at time 37 = 2

Proof:

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Given
1 expression state at time 36 = "begin_expr"
2 the line at time 36 = 2
Proof Table
# Claim Reason
1 the line at time (36 + 1) = the line at time 36 if expression state at time 36 = "begin_expr", then the line at time (36 + 1) = the line at time 36
2 the line at time (36 + 1) = 2 if the line at time (36 + 1) = the line at time 36 and the line at time 36 = 2, then the line at time (36 + 1) = 2
3 36 + 1 = 37 36 + 1 = 37
4 the line at time (36 + 1) = the line at time 37 if 36 + 1 = 37, then the line at time (36 + 1) = the line at time 37
5 the line at time 37 = 2 if the line at time (36 + 1) = the line at time 37 and the line at time (36 + 1) = 2, then the line at time 37 = 2

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