Proof: Write Stmt Class Defs At Unchanged 45

Let's prove the following theorem:

if the following are true:

the line at time 45 = 3
the tab at time 45 = 1
statement at line 3, tab 1 = a = __add__(a, 1)
Class Map at time 45 = [ ]

then Class Map at time 46 = [ ]

Proof:

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Given

1	the line at time 45 = 3
2	the tab at time 45 = 1
3	statement at line 3, tab 1 = `a = __add__(a, 1)`
4	Class Map at time 45 = [ ]

Proof Table

#	Claim	Reason
1	Class Map at time (45 + 1) = Class Map at time 45	if the line at time 45 = 3 and the tab at time 45 = 1 and statement at line 3, tab 1 = `a = __add__(a, 1)`, then Class Map at time (45 + 1) = Class Map at time 45 (Assign If Stack (4))
2	Class Map at time (45 + 1) = [ ]	if Class Map at time (45 + 1) = Class Map at time 45 and Class Map at time 45 = [ ], then Class Map at time (45 + 1) = [ ] (Transitive Property of Equality)
3	45 + 1 = 46	45 + 1 = 46 (Fixed Value Statement)
4	Class Map at time (45 + 1) = Class Map at time 46	if 45 + 1 = 46, then Class Map at time (45 + 1) = Class Map at time 46 (Substitution)
5	Class Map at time 46 = [ ]	if Class Map at time (45 + 1) = Class Map at time 46 and Class Map at time (45 + 1) = [ ], then Class Map at time 46 = [ ] (Transitive Property of Equality Variation 2)

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