Proof: Do Class Defs At Unchanged 19

Let's prove the following theorem:

if the following are true:
  • expression state at time 19 = "begin_expr"
  • Class Map at time 19 = [ ]

then Class Map at time 20 = [ ]

Proof:

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Given
1 expression state at time 19 = "begin_expr"
2 Class Map at time 19 = [ ]
Proof Table
# Claim Reason
1 Class Map at time (19 + 1) = Class Map at time 19 if expression state at time 19 = "begin_expr", then Class Map at time (19 + 1) = Class Map at time 19
2 Class Map at time (19 + 1) = [ ] if Class Map at time (19 + 1) = Class Map at time 19 and Class Map at time 19 = [ ], then Class Map at time (19 + 1) = [ ]
3 19 + 1 = 20 19 + 1 = 20
4 Class Map at time (19 + 1) = Class Map at time 20 if 19 + 1 = 20, then Class Map at time (19 + 1) = Class Map at time 20
5 Class Map at time 20 = [ ] if Class Map at time (19 + 1) = Class Map at time 20 and Class Map at time (19 + 1) = [ ], then Class Map at time 20 = [ ]

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