Proof: Write Stmt Tab Unchanged Expr24

Let's prove the following theorem:

if the following are true:

the line at time 24 = 3
the tab at time 24 = 2
statement at line 3, tab 2 = self."x" = 0
expression state at time 24 = "end_expr"

then the tab at time 25 = 2

Proof:

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Given

1	the line at time 24 = 3
2	the tab at time 24 = 2
3	statement at line 3, tab 2 = self."x" = 0
4	expression state at time 24 = "end_expr"

Proof Table

#	Claim	Reason
1	the tab at time (24 + 1) = the tab at time 24	if the line at time 24 = 3 and the tab at time 24 = 2 and statement at line 3, tab 2 = self."x" = 0 and expression state at time 24 = "end_expr", then the tab at time (24 + 1) = the tab at time 24 (Set Attribute Ended (2))
2	the tab at time (24 + 1) = 2	if the tab at time (24 + 1) = the tab at time 24 and the tab at time 24 = 2, then the tab at time (24 + 1) = 2 (Transitive Property of Equality)
3	24 + 1 = 25	24 + 1 = 25 (Fixed Value Statement)
4	the tab at time (24 + 1) = the tab at time 25	if 24 + 1 = 25, then the tab at time (24 + 1) = the tab at time 25 (Substitution)
5	the tab at time 25 = 2	if the tab at time (24 + 1) = the tab at time 25 and the tab at time (24 + 1) = 2, then the tab at time 25 = 2 (Transitive Property of Equality Variation 2)

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