Proof: Do Class Defs At Unchanged 19

Let's prove the following theorem:

if the following are true:

expression state at time 19 = "return"
Class Map at time 19 = [ ]

then Class Map at time 20 = [ ]

Proof:

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Given

1	expression state at time 19 = "return"
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 = "return", then Class Map at time (19 + 1) = Class Map at time 19 (Return (11))
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) = [ ] (Transitive Property of Equality)
3	19 + 1 = 20	19 + 1 = 20 (Fixed Value Statement)
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 (Substitution)
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 = [ ] (Transitive Property of Equality Variation 2)

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