Proof: Do Expr At Unchanged 35

Let's prove the following theorem:

if the following are true:

expression state at time 35 = "begin_expr"
the expression at time 35 = self."last_name" = last_name

then the expression at time 36 = self."last_name" = last_name

Proof:

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Given

1	expression state at time 35 = "begin_expr"
2	the expression at time 35 = self."last_name" = last_name

Proof Table

#	Claim	Reason
1	the expression at time (35 + 1) = the expression at time 35	if expression state at time 35 = "begin_expr", then the expression at time (35 + 1) = the expression at time 35 (Insn Count Begin Expression (1))
2	the expression at time (35 + 1) = self."last_name" = last_name	if the expression at time (35 + 1) = the expression at time 35 and the expression at time 35 = self."last_name" = last_name, then the expression at time (35 + 1) = self."last_name" = last_name (Transitive Property of Equality)
3	35 + 1 = 36	35 + 1 = 36 (Fixed Value Statement)
4	the expression at time (35 + 1) = the expression at time 36	if 35 + 1 = 36, then the expression at time (35 + 1) = the expression at time 36 (Substitution)
5	the expression at time 36 = self."last_name" = last_name	if the expression at time (35 + 1) = the expression at time 36 and the expression at time (35 + 1) = self."last_name" = last_name, then the expression at time 36 = self."last_name" = last_name (Transitive Property of Equality Variation 2)

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