Proof: Do Line At Unchanged 47

Let's prove the following theorem:

if the following are true:

expression state at time 47 = "begin_expr"
the line at time 47 = 6

then the line at time 48 = 6

Proof:

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Given

1	expression state at time 47 = "begin_expr"
2	the line at time 47 = 6

Proof Table

#	Claim	Reason
1	the line at time (47 + 1) = the line at time 47	if expression state at time 47 = "begin_expr", then the line at time (47 + 1) = the line at time 47 (Insn Count Begin Expression (3))
2	the line at time (47 + 1) = 6	if the line at time (47 + 1) = the line at time 47 and the line at time 47 = 6, then the line at time (47 + 1) = 6 (Transitive Property of Equality)
3	47 + 1 = 48	47 + 1 = 48 (Fixed Value Statement)
4	the line at time (47 + 1) = the line at time 48	if 47 + 1 = 48, then the line at time (47 + 1) = the line at time 48 (Substitution)
5	the line at time 48 = 6	if the line at time (47 + 1) = the line at time 48 and the line at time (47 + 1) = 6, then the line at time 48 = 6 (Transitive Property of Equality Variation 2)

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