Proof: Do Expr At Unchanged 27

Let's prove the following theorem:

if the following are true:

expression state at time 27 = "begin_expr"
the expression at time 27 = self."first_name" = first_name

then the expression at time 28 = self."first_name" = first_name

Proof:

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Given

1	expression state at time 27 = "begin_expr"
2	the expression at time 27 = self."first_name" = first_name

Proof Table

#	Claim	Reason
1	the expression at time (27 + 1) = the expression at time 27	if expression state at time 27 = "begin_expr", then the expression at time (27 + 1) = the expression at time 27 (Insn Count Begin Expression (1))
2	the expression at time (27 + 1) = self."first_name" = first_name	if the expression at time (27 + 1) = the expression at time 27 and the expression at time 27 = self."first_name" = first_name, then the expression at time (27 + 1) = self."first_name" = first_name (Transitive Property of Equality)
3	27 + 1 = 28	27 + 1 = 28 (Fixed Value Statement)
4	the expression at time (27 + 1) = the expression at time 28	if 27 + 1 = 28, then the expression at time (27 + 1) = the expression at time 28 (Substitution)
5	the expression at time 28 = self."first_name" = first_name	if the expression at time (27 + 1) = the expression at time 28 and the expression at time (27 + 1) = self."first_name" = first_name, then the expression at time 28 = self."first_name" = first_name (Transitive Property of Equality Variation 2)

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