Proof: Do Control Map At Unchanged 5

Let's prove the following theorem:

if the following are true:
  • expression state at time 5 = "begin_expr"
  • Control Map at time 5 = [ ]

then Control Map at time 6 = [ ]

Proof:

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Given
1 expression state at time 5 = "begin_expr"
2 Control Map at time 5 = [ ]
Proof Table
# Claim Reason
1 Control Map at time (5 + 1) = Control Map at time 5 if expression state at time 5 = "begin_expr", then Control Map at time (5 + 1) = Control Map at time 5
2 Control Map at time (5 + 1) = [ ] if Control Map at time (5 + 1) = Control Map at time 5 and Control Map at time 5 = [ ], then Control Map at time (5 + 1) = [ ]
3 5 + 1 = 6 5 + 1 = 6
4 Control Map at time (5 + 1) = Control Map at time 6 if 5 + 1 = 6, then Control Map at time (5 + 1) = Control Map at time 6
5 Control Map at time 6 = [ ] if Control Map at time (5 + 1) = Control Map at time 6 and Control Map at time (5 + 1) = [ ], then Control Map at time 6 = [ ]

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