Proof: Do Class Defs At Unchanged 31

Let's prove the following theorem:

if the following are true:
  • expression state at time 31 = "return"
  • Class Map at time 31 = [ ]

then Class Map at time 32 = [ ]

Proof:

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Given
1 expression state at time 31 = "return"
2 Class Map at time 31 = [ ]
Proof Table
# Claim Reason
1 Class Map at time (31 + 1) = Class Map at time 31 if expression state at time 31 = "return", then Class Map at time (31 + 1) = Class Map at time 31
2 Class Map at time (31 + 1) = [ ] if Class Map at time (31 + 1) = Class Map at time 31 and Class Map at time 31 = [ ], then Class Map at time (31 + 1) = [ ]
3 31 + 1 = 32 31 + 1 = 32
4 Class Map at time (31 + 1) = Class Map at time 32 if 31 + 1 = 32, then Class Map at time (31 + 1) = Class Map at time 32
5 Class Map at time 32 = [ ] if Class Map at time (31 + 1) = Class Map at time 32 and Class Map at time (31 + 1) = [ ], then Class Map at time 32 = [ ]

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