Proof: Do Line At Unchanged 1

Let's prove the following theorem:

if the following are true:

expression state at time 1 = "begin_expr"
the line at time 1 = 1

then the line at time 2 = 1

Proof:

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Given

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

Proof Table

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

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