Proof: Write Stmt Tab Unchanged Expr49

Let's prove the following theorem:

if the following are true:

the line at time 49 = 5
the tab at time 49 = 2
statement at line 5, tab 2 = self."age" = age
expression state at time 49 = "end_expr"

then the tab at time 50 = 2

Proof:

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Given

1	the line at time 49 = 5
2	the tab at time 49 = 2
3	statement at line 5, tab 2 = self."age" = age
4	expression state at time 49 = "end_expr"

Proof Table

#	Claim	Reason
1	the tab at time (49 + 1) = the tab at time 49	if the line at time 49 = 5 and the tab at time 49 = 2 and statement at line 5, tab 2 = self."age" = age and expression state at time 49 = "end_expr", then the tab at time (49 + 1) = the tab at time 49 (Set Attribute Ended (2))
2	the tab at time (49 + 1) = 2	if the tab at time (49 + 1) = the tab at time 49 and the tab at time 49 = 2, then the tab at time (49 + 1) = 2 (Transitive Property of Equality)
3	49 + 1 = 50	49 + 1 = 50 (Fixed Value Statement)
4	the tab at time (49 + 1) = the tab at time 50	if 49 + 1 = 50, then the tab at time (49 + 1) = the tab at time 50 (Substitution)
5	the tab at time 50 = 2	if the tab at time (49 + 1) = the tab at time 50 and the tab at time (49 + 1) = 2, then the tab at time 50 = 2 (Transitive Property of Equality Variation 2)

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