Proof: Write Skip Line Line 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 line at time 12 = 3

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 line at time (11 + 1) = 2 + 1	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 line at time (11 + 1) = 2 + 1 (Skip Line Property)
3	2 + 1 = 3	2 + 1 = 3 (Fixed Value Statement)
4	the line at time (11 + 1) = 3	if the line at time (11 + 1) = 2 + 1 and 2 + 1 = 3, then the line at time (11 + 1) = 3 (Transitive Property of Equality)
5	11 + 1 = 12	11 + 1 = 12 (Fixed Value Statement)
6	the line at time (11 + 1) = the line at time 12	if 11 + 1 = 12, then the line at time (11 + 1) = the line at time 12 (Substitution)
7	the line at time 12 = 3	if the line at time (11 + 1) = the line at time 12 and the line at time (11 + 1) = 3, then the line at time 12 = 3 (Transitive Property of Equality Variation 2)

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