Proof: Do Class Defs At Unchanged 48

Let's prove the following theorem:

if the following are true:

expression state at time 48 = "begin_expr"
Class Map at time 48 = [ ]

then Class Map at time 49 = [ ]

Proof:

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Given

1	expression state at time 48 = "begin_expr"
2	Class Map at time 48 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (48 + 1) = Class Map at time 48	if expression state at time 48 = "begin_expr", then Class Map at time (48 + 1) = Class Map at time 48 (Insn Count Begin Expression (8))
2	Class Map at time (48 + 1) = [ ]	if Class Map at time (48 + 1) = Class Map at time 48 and Class Map at time 48 = [ ], then Class Map at time (48 + 1) = [ ] (Transitive Property of Equality)
3	48 + 1 = 49	48 + 1 = 49 (Fixed Value Statement)
4	Class Map at time (48 + 1) = Class Map at time 49	if 48 + 1 = 49, then Class Map at time (48 + 1) = Class Map at time 49 (Substitution)
5	Class Map at time 49 = [ ]	if Class Map at time (48 + 1) = Class Map at time 49 and Class Map at time (48 + 1) = [ ], then Class Map at time 49 = [ ] (Transitive Property of Equality Variation 2)

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