Proof: Write Stmt Class Defs At Unchanged 24

Let's prove the following theorem:

if the following are true:

the line at time 24 = 3
the tab at time 24 = 1
statement at line 3, tab 1 = return z
Class Map at time 24 = [ ]

then Class Map at time 25 = [ ]

Proof:

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Given

1	the line at time 24 = 3
2	the tab at time 24 = 1
3	statement at line 3, tab 1 = `return z`
4	Class Map at time 24 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (24 + 1) = Class Map at time 24	if the line at time 24 = 3 and the tab at time 24 = 1 and statement at line 3, tab 1 = `return z`, then Class Map at time (24 + 1) = Class Map at time 24 (Return If Stack (3))
2	Class Map at time (24 + 1) = [ ]	if Class Map at time (24 + 1) = Class Map at time 24 and Class Map at time 24 = [ ], then Class Map at time (24 + 1) = [ ] (Transitive Property of Equality)
3	24 + 1 = 25	24 + 1 = 25 (Fixed Value Statement)
4	Class Map at time (24 + 1) = Class Map at time 25	if 24 + 1 = 25, then Class Map at time (24 + 1) = Class Map at time 25 (Substitution)
5	Class Map at time 25 = [ ]	if Class Map at time (24 + 1) = Class Map at time 25 and Class Map at time (24 + 1) = [ ], then Class Map at time 25 = [ ] (Transitive Property of Equality Variation 2)

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