Proof: Do Class Defs At Unchanged 9

Let's prove the following theorem:

if the following are true:
  • expression state at time 9 = "iterate_args"
  • Class Map at time 9 = [ ]

then Class Map at time 10 = [ ]

Proof:

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Given
1 expression state at time 9 = "iterate_args"
2 Class Map at time 9 = [ ]
Proof Table
# Claim Reason
1 Class Map at time (9 + 1) = Class Map at time 9 if expression state at time 9 = "iterate_args", then Class Map at time (9 + 1) = Class Map at time 9
2 Class Map at time (9 + 1) = [ ] if Class Map at time (9 + 1) = Class Map at time 9 and Class Map at time 9 = [ ], then Class Map at time (9 + 1) = [ ]
3 9 + 1 = 10 9 + 1 = 10
4 Class Map at time (9 + 1) = Class Map at time 10 if 9 + 1 = 10, then Class Map at time (9 + 1) = Class Map at time 10
5 Class Map at time 10 = [ ] if Class Map at time (9 + 1) = Class Map at time 10 and Class Map at time (9 + 1) = [ ], then Class Map at time 10 = [ ]

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