Proof: Write Stmt Tab At Unchanged Expr22

Let's prove the following theorem:

if the following are true:

the line at time 22 = 3
the tab at time 22 = 1
statement at line 3, tab 1 = a = __add__(a, 1)
expression state at time 22 = "end_expr"

then the tab at time 23 = 1

Proof:

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Given

1	the line at time 22 = 3
2	the tab at time 22 = 1
3	statement at line 3, tab 1 = `a = __add__(a, 1)`
4	expression state at time 22 = "end_expr"

Proof Table

#	Claim	Reason
1	the tab at time (22 + 1) = the tab at time 22	if the line at time 22 = 3 and the tab at time 22 = 1 and statement at line 3, tab 1 = `a = __add__(a, 1)` and expression state at time 22 = "end_expr", then the tab at time (22 + 1) = the tab at time 22 (Assign Variable to Call Result (3))
2	the tab at time (22 + 1) = 1	if the tab at time (22 + 1) = the tab at time 22 and the tab at time 22 = 1, then the tab at time (22 + 1) = 1 (Transitive Property of Equality)
3	22 + 1 = 23	22 + 1 = 23 (Fixed Value Statement)
4	the tab at time (22 + 1) = the tab at time 23	if 22 + 1 = 23, then the tab at time (22 + 1) = the tab at time 23 (Substitution)
5	the tab at time 23 = 1	if the tab at time (22 + 1) = the tab at time 23 and the tab at time (22 + 1) = 1, then the tab at time 23 = 1 (Transitive Property of Equality Variation 2)

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