Proof: Do Class Defs At Unchanged 50

Let's prove the following theorem:

if the following are true:

expression state at time 50 = "begin_expr"
Class Map at time 50 = [ ]

then Class Map at time 51 = [ ]

Proof:

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Given

1	expression state at time 50 = "begin_expr"
2	Class Map at time 50 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (50 + 1) = Class Map at time 50	if expression state at time 50 = "begin_expr", then Class Map at time (50 + 1) = Class Map at time 50 (Insn Count Begin Expression (8))
2	Class Map at time (50 + 1) = [ ]	if Class Map at time (50 + 1) = Class Map at time 50 and Class Map at time 50 = [ ], then Class Map at time (50 + 1) = [ ] (Transitive Property of Equality)
3	50 + 1 = 51	50 + 1 = 51 (Fixed Value Statement)
4	Class Map at time (50 + 1) = Class Map at time 51	if 50 + 1 = 51, then Class Map at time (50 + 1) = Class Map at time 51 (Substitution)
5	Class Map at time 51 = [ ]	if Class Map at time (50 + 1) = Class Map at time 51 and Class Map at time (50 + 1) = [ ], then Class Map at time 51 = [ ] (Transitive Property of Equality Variation 2)

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