Proof: Do Class Defs At Unchanged 44

Let's prove the following theorem:

if the following are true:
  • expression state at time 44 = "call_function_begin"
  • Class Map at time 44 = [ ]

then Class Map at time 45 = [ ]

Proof:

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Given
1 expression state at time 44 = "call_function_begin"
2 Class Map at time 44 = [ ]
Proof Table
# Claim Reason
1 Class Map at time (44 + 1) = Class Map at time 44 if expression state at time 44 = "call_function_begin", then Class Map at time (44 + 1) = Class Map at time 44
2 Class Map at time (44 + 1) = [ ] if Class Map at time (44 + 1) = Class Map at time 44 and Class Map at time 44 = [ ], then Class Map at time (44 + 1) = [ ]
3 44 + 1 = 45 44 + 1 = 45
4 Class Map at time (44 + 1) = Class Map at time 45 if 44 + 1 = 45, then Class Map at time (44 + 1) = Class Map at time 45
5 Class Map at time 45 = [ ] if Class Map at time (44 + 1) = Class Map at time 45 and Class Map at time (44 + 1) = [ ], then Class Map at time 45 = [ ]

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