Proof: Do Control Map At Unchanged 4

Let's prove the following theorem:

if the following are true:
  • expression state at time 4 = "return"
  • Control Map at time 4 = [ ]

then Control Map at time 5 = [ ]

Proof:

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Given
1 expression state at time 4 = "return"
2 Control Map at time 4 = [ ]
Proof Table
# Claim Reason
1 Control Map at time (4 + 1) = Control Map at time 4 if expression state at time 4 = "return", then Control Map at time (4 + 1) = Control Map at time 4
2 Control Map at time (4 + 1) = [ ] if Control Map at time (4 + 1) = Control Map at time 4 and Control Map at time 4 = [ ], then Control Map at time (4 + 1) = [ ]
3 4 + 1 = 5 4 + 1 = 5
4 Control Map at time (4 + 1) = Control Map at time 5 if 4 + 1 = 5, then Control Map at time (4 + 1) = Control Map at time 5
5 Control Map at time 5 = [ ] if Control Map at time (4 + 1) = Control Map at time 5 and Control Map at time (4 + 1) = [ ], then Control Map at time 5 = [ ]

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