Proof: Do Tab At Unchanged 70

Let's prove the following theorem:

if the following are true:
  • expression state at time 70 = "begin_expr"
  • the tab at time 70 = 2

then the tab at time 71 = 2

Proof:

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Given
1 expression state at time 70 = "begin_expr"
2 the tab at time 70 = 2
Proof Table
# Claim Reason
1 the tab at time (70 + 1) = the tab at time 70 if expression state at time 70 = "begin_expr", then the tab at time (70 + 1) = the tab at time 70
2 the tab at time (70 + 1) = 2 if the tab at time (70 + 1) = the tab at time 70 and the tab at time 70 = 2, then the tab at time (70 + 1) = 2
3 70 + 1 = 71 70 + 1 = 71
4 the tab at time (70 + 1) = the tab at time 71 if 70 + 1 = 71, then the tab at time (70 + 1) = the tab at time 71
5 the tab at time 71 = 2 if the tab at time (70 + 1) = the tab at time 71 and the tab at time (70 + 1) = 2, then the tab at time 71 = 2

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