Proof: Do Class Defs At Unchanged 49

Let's prove the following theorem:

if the following are true:

expression state at time 49 = "iterate_args"
Class Map at time 49 = [ ]

then Class Map at time 50 = [ ]

Proof:

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Given

1	expression state at time 49 = "iterate_args"
2	Class Map at time 49 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (49 + 1) = Class Map at time 49	if expression state at time 49 = "iterate_args", then Class Map at time (49 + 1) = Class Map at time 49 (Iterate Insn (8))
2	Class Map at time (49 + 1) = [ ]	if Class Map at time (49 + 1) = Class Map at time 49 and Class Map at time 49 = [ ], then Class Map at time (49 + 1) = [ ] (Transitive Property of Equality)
3	49 + 1 = 50	49 + 1 = 50 (Fixed Value Statement)
4	Class Map at time (49 + 1) = Class Map at time 50	if 49 + 1 = 50, then Class Map at time (49 + 1) = Class Map at time 50 (Substitution)
5	Class Map at time 50 = [ ]	if Class Map at time (49 + 1) = Class Map at time 50 and Class Map at time (49 + 1) = [ ], then Class Map at time 50 = [ ] (Transitive Property of Equality Variation 2)

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