Proof: Do Tab At Unchanged 37

Let's prove the following theorem:

if the following are true:
  • expression state at time 37 = "begin_expr"
  • the tab at time 37 = 0

then the tab at time 38 = 0

Proof:

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Given
1 expression state at time 37 = "begin_expr"
2 the tab at time 37 = 0
Proof Table
# Claim Reason
1 the tab at time (37 + 1) = the tab at time 37 if expression state at time 37 = "begin_expr", then the tab at time (37 + 1) = the tab at time 37
2 the tab at time (37 + 1) = 0 if the tab at time (37 + 1) = the tab at time 37 and the tab at time 37 = 0, then the tab at time (37 + 1) = 0
3 37 + 1 = 38 37 + 1 = 38
4 the tab at time (37 + 1) = the tab at time 38 if 37 + 1 = 38, then the tab at time (37 + 1) = the tab at time 38
5 the tab at time 38 = 0 if the tab at time (37 + 1) = the tab at time 38 and the tab at time (37 + 1) = 0, then the tab at time 38 = 0

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