Proof: Write Skip Line Tab 11

Let's prove the following theorem:

if the following are true:

the line at time 11 = 2
the tab at time 11 = 0
statement at line 2, tab 1 = a = 7

then the tab at time 12 = 0

Proof:

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Given

1	the line at time 11 = 2
2	the tab at time 11 = 0
3	statement at line 2, tab 1 = `a = 7`

Proof Table

#	Claim	Reason
1	1 > 0	1 > 0 (Fixed Value Statement)
2	the tab at time (11 + 1) = the tab at time 11	if the line at time 11 = 2 and the tab at time 11 = 0 and statement at line 2, tab 1 = `a = 7` and 1 > 0, then the tab at time (11 + 1) = the tab at time 11 (Skip Line (3))
3	the tab at time (11 + 1) = 0	if the tab at time (11 + 1) = the tab at time 11 and the tab at time 11 = 0, then the tab at time (11 + 1) = 0 (Transitive Property of Equality)
4	11 + 1 = 12	11 + 1 = 12 (Fixed Value Statement)
5	the tab at time (11 + 1) = the tab at time 12	if 11 + 1 = 12, then the tab at time (11 + 1) = the tab at time 12 (Substitution)
6	the tab at time 12 = 0	if the tab at time (11 + 1) = the tab at time 12 and the tab at time (11 + 1) = 0, then the tab at time 12 = 0 (Transitive Property of Equality Variation 2)

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