Proof: Do Expr At Unchanged 47

Let's prove the following theorem:

if the following are true:

expression state at time 47 = "begin_expr"
the expression at time 47 = self.x

then the expression at time 48 = self.x

Proof:

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Given

1	expression state at time 47 = "begin_expr"
2	the expression at time 47 = `self.x`

Proof Table

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

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