Proof: Write Stmt Control Map At Unchanged 26

Let's prove the following theorem:

if the following are true:

the line at time 26 = 5
the tab at time 26 = 0
statement at line 5, tab 0 = b = add_three(a)
Control Map at time 26 = [ ]

then Control Map at time 27 = [ ]

Proof:

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Given

1	the line at time 26 = 5
2	the tab at time 26 = 0
3	statement at line 5, tab 0 = `b = add_three(a)`
4	Control Map at time 26 = [ ]

Proof Table

#	Claim	Reason
1	Control Map at time (26 + 1) = Control Map at time 26	if the line at time 26 = 5 and the tab at time 26 = 0 and statement at line 5, tab 0 = `b = add_three(a)`, then Control Map at time (26 + 1) = Control Map at time 26 (Assign If Stack (3))
2	Control Map at time (26 + 1) = [ ]	if Control Map at time (26 + 1) = Control Map at time 26 and Control Map at time 26 = [ ], then Control Map at time (26 + 1) = [ ] (Transitive Property of Equality)
3	26 + 1 = 27	26 + 1 = 27 (Fixed Value Statement)
4	Control Map at time (26 + 1) = Control Map at time 27	if 26 + 1 = 27, then Control Map at time (26 + 1) = Control Map at time 27 (Substitution)
5	Control Map at time 27 = [ ]	if Control Map at time (26 + 1) = Control Map at time 27 and Control Map at time (26 + 1) = [ ], then Control Map at time 27 = [ ] (Transitive Property of Equality Variation 2)

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