Proof: Do Line At Unchanged 75

Let's prove the following theorem:

if the following are true:

expression state at time 75 = "begin_expr"
the line at time 75 = 9

then the line at time 76 = 9

Proof:

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Given

1	expression state at time 75 = "begin_expr"
2	the line at time 75 = 9

Proof Table

#	Claim	Reason
1	the line at time (75 + 1) = the line at time 75	if expression state at time 75 = "begin_expr", then the line at time (75 + 1) = the line at time 75 (Insn Count Begin Expression (3))
2	the line at time (75 + 1) = 9	if the line at time (75 + 1) = the line at time 75 and the line at time 75 = 9, then the line at time (75 + 1) = 9 (Transitive Property of Equality)
3	75 + 1 = 76	75 + 1 = 76 (Fixed Value Statement)
4	the line at time (75 + 1) = the line at time 76	if 75 + 1 = 76, then the line at time (75 + 1) = the line at time 76 (Substitution)
5	the line at time 76 = 9	if the line at time (75 + 1) = the line at time 76 and the line at time (75 + 1) = 9, then the line at time 76 = 9 (Transitive Property of Equality Variation 2)

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