Proof: Write Stmt Tab Unchanged Expr79

Let's prove the following theorem:

if the following are true:

the line at time 79 = 9
the tab at time 79 = 2
statement at line 9, tab 2 = self."y" = 5
expression state at time 79 = "end_expr"

then the tab at time 80 = 2

Proof:

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Given

1	the line at time 79 = 9
2	the tab at time 79 = 2
3	statement at line 9, tab 2 = self."y" = 5
4	expression state at time 79 = "end_expr"

Proof Table

#	Claim	Reason
1	the tab at time (79 + 1) = the tab at time 79	if the line at time 79 = 9 and the tab at time 79 = 2 and statement at line 9, tab 2 = self."y" = 5 and expression state at time 79 = "end_expr", then the tab at time (79 + 1) = the tab at time 79 (Set Attribute Ended (2))
2	the tab at time (79 + 1) = 2	if the tab at time (79 + 1) = the tab at time 79 and the tab at time 79 = 2, then the tab at time (79 + 1) = 2 (Transitive Property of Equality)
3	79 + 1 = 80	79 + 1 = 80 (Fixed Value Statement)
4	the tab at time (79 + 1) = the tab at time 80	if 79 + 1 = 80, then the tab at time (79 + 1) = the tab at time 80 (Substitution)
5	the tab at time 80 = 2	if the tab at time (79 + 1) = the tab at time 80 and the tab at time (79 + 1) = 2, then the tab at time 80 = 2 (Transitive Property of Equality Variation 2)

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