Proof: Do Tab At Unchanged 76

Let's prove the following theorem:

if the following are true:
  • expression state at time 76 = "return"
  • the tab at time 76 = 2

then the tab at time 77 = 2

Proof:

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Given
1 expression state at time 76 = "return"
2 the tab at time 76 = 2
Proof Table
# Claim Reason
1 the tab at time (76 + 1) = the tab at time 76 if expression state at time 76 = "return", then the tab at time (76 + 1) = the tab at time 76
2 the tab at time (76 + 1) = 2 if the tab at time (76 + 1) = the tab at time 76 and the tab at time 76 = 2, then the tab at time (76 + 1) = 2
3 76 + 1 = 77 76 + 1 = 77
4 the tab at time (76 + 1) = the tab at time 77 if 76 + 1 = 77, then the tab at time (76 + 1) = the tab at time 77
5 the tab at time 77 = 2 if the tab at time (76 + 1) = the tab at time 77 and the tab at time (76 + 1) = 2, then the tab at time 77 = 2

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