Proof: Write Stmt Tab At Unchanged Expr23

Let's prove the following theorem:

if the following are true:

the line at time 23 = 2
the tab at time 23 = 1
statement at line 2, tab 1 = z = __add__(x, 3)
expression state at time 23 = "end_expr"

then the tab at time 24 = 1

Proof:

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Given

1	the line at time 23 = 2
2	the tab at time 23 = 1
3	statement at line 2, tab 1 = `z = __add__(x, 3)`
4	expression state at time 23 = "end_expr"

Proof Table

#	Claim	Reason
1	the tab at time (23 + 1) = the tab at time 23	if the line at time 23 = 2 and the tab at time 23 = 1 and statement at line 2, tab 1 = `z = __add__(x, 3)` and expression state at time 23 = "end_expr", then the tab at time (23 + 1) = the tab at time 23 (Assign Variable to Call Result (3))
2	the tab at time (23 + 1) = 1	if the tab at time (23 + 1) = the tab at time 23 and the tab at time 23 = 1, then the tab at time (23 + 1) = 1 (Transitive Property of Equality)
3	23 + 1 = 24	23 + 1 = 24 (Fixed Value Statement)
4	the tab at time (23 + 1) = the tab at time 24	if 23 + 1 = 24, then the tab at time (23 + 1) = the tab at time 24 (Substitution)
5	the tab at time 24 = 1	if the tab at time (23 + 1) = the tab at time 24 and the tab at time (23 + 1) = 1, then the tab at time 24 = 1 (Transitive Property of Equality Variation 2)

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