Proof: Do Class Defs At Unchanged 53

Let's prove the following theorem:

if the following are true:

expression state at time 53 = "begin_expr"
Class Map at time 53 = [ ]

then Class Map at time 54 = [ ]

Proof:

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Given

1	expression state at time 53 = "begin_expr"
2	Class Map at time 53 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (53 + 1) = Class Map at time 53	if expression state at time 53 = "begin_expr", then Class Map at time (53 + 1) = Class Map at time 53 (Insn Count Begin Expression (8))
2	Class Map at time (53 + 1) = [ ]	if Class Map at time (53 + 1) = Class Map at time 53 and Class Map at time 53 = [ ], then Class Map at time (53 + 1) = [ ] (Transitive Property of Equality)
3	53 + 1 = 54	53 + 1 = 54 (Fixed Value Statement)
4	Class Map at time (53 + 1) = Class Map at time 54	if 53 + 1 = 54, then Class Map at time (53 + 1) = Class Map at time 54 (Substitution)
5	Class Map at time 54 = [ ]	if Class Map at time (53 + 1) = Class Map at time 54 and Class Map at time (53 + 1) = [ ], then Class Map at time 54 = [ ] (Transitive Property of Equality Variation 2)

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