Proof: Do Tab At Unchanged 49

Let's prove the following theorem:

if the following are true:
  • expression state at time 49 = "begin_expr"
  • the tab at time 49 = 2

then the tab at time 50 = 2

Proof:

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Given
1 expression state at time 49 = "begin_expr"
2 the tab at time 49 = 2
Proof Table
# Claim Reason
1 the tab at time (49 + 1) = the tab at time 49 if expression state at time 49 = "begin_expr", then the tab at time (49 + 1) = the tab at time 49
2 the tab at time (49 + 1) = 2 if the tab at time (49 + 1) = the tab at time 49 and the tab at time 49 = 2, then the tab at time (49 + 1) = 2
3 49 + 1 = 50 49 + 1 = 50
4 the tab at time (49 + 1) = the tab at time 50 if 49 + 1 = 50, then the tab at time (49 + 1) = the tab at time 50
5 the tab at time 50 = 2 if the tab at time (49 + 1) = the tab at time 50 and the tab at time (49 + 1) = 2, then the tab at time 50 = 2

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