Proof: Do Class Defs At Unchanged 40

Let's prove the following theorem:

if the following are true:

expression state at time 40 = "iterate_args"
Class Map at time 40 = [ ]

then Class Map at time 41 = [ ]

Proof:

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Given

1	expression state at time 40 = "iterate_args"
2	Class Map at time 40 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (40 + 1) = Class Map at time 40	if expression state at time 40 = "iterate_args", then Class Map at time (40 + 1) = Class Map at time 40 (Iterate Insn (8))
2	Class Map at time (40 + 1) = [ ]	if Class Map at time (40 + 1) = Class Map at time 40 and Class Map at time 40 = [ ], then Class Map at time (40 + 1) = [ ] (Transitive Property of Equality)
3	40 + 1 = 41	40 + 1 = 41 (Fixed Value Statement)
4	Class Map at time (40 + 1) = Class Map at time 41	if 40 + 1 = 41, then Class Map at time (40 + 1) = Class Map at time 41 (Substitution)
5	Class Map at time 41 = [ ]	if Class Map at time (40 + 1) = Class Map at time 41 and Class Map at time (40 + 1) = [ ], then Class Map at time 41 = [ ] (Transitive Property of Equality Variation 2)

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