Proof: Do Tab At Unchanged 47

Let's prove the following theorem:

if the following are true:
  • expression state at time 47 = "begin_expr"
  • the tab at time 47 = 2

then the tab at time 48 = 2

Proof:

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Given
1 expression state at time 47 = "begin_expr"
2 the tab at time 47 = 2
Proof Table
# Claim Reason
1 the tab at time (47 + 1) = the tab at time 47 if expression state at time 47 = "begin_expr", then the tab at time (47 + 1) = the tab at time 47
2 the tab at time (47 + 1) = 2 if the tab at time (47 + 1) = the tab at time 47 and the tab at time 47 = 2, then the tab at time (47 + 1) = 2
3 47 + 1 = 48 47 + 1 = 48
4 the tab at time (47 + 1) = the tab at time 48 if 47 + 1 = 48, then the tab at time (47 + 1) = the tab at time 48
5 the tab at time 48 = 2 if the tab at time (47 + 1) = the tab at time 48 and the tab at time (47 + 1) = 2, then the tab at time 48 = 2

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