Proof: Do Class Defs At Unchanged 12

Let's prove the following theorem:

if the following are true:
  • expression state at time 12 = "call_build_args"
  • Class Map at time 12 = [ ]

then Class Map at time 13 = [ ]

Proof:

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Given
1 expression state at time 12 = "call_build_args"
2 Class Map at time 12 = [ ]
Proof Table
# Claim Reason
1 Class Map at time (12 + 1) = Class Map at time 12 if expression state at time 12 = "call_build_args", then Class Map at time (12 + 1) = Class Map at time 12
2 Class Map at time (12 + 1) = [ ] if Class Map at time (12 + 1) = Class Map at time 12 and Class Map at time 12 = [ ], then Class Map at time (12 + 1) = [ ]
3 12 + 1 = 13 12 + 1 = 13
4 Class Map at time (12 + 1) = Class Map at time 13 if 12 + 1 = 13, then Class Map at time (12 + 1) = Class Map at time 13
5 Class Map at time 13 = [ ] if Class Map at time (12 + 1) = Class Map at time 13 and Class Map at time (12 + 1) = [ ], then Class Map at time 13 = [ ]

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