Proof: Do Class Defs At Unchanged 5

Let's prove the following theorem:

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

then Class Map at time 6 = [ ]

Proof:

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

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