Proof: Do Expr At Unchanged 23

Let's prove the following theorem:

if the following are true:

expression state at time 23 = "call_build_args"
the expression at time 23 = Person("John", "Smith", 25)

then the expression at time 24 = Person("John", "Smith", 25)

Proof:

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Given

1	expression state at time 23 = "call_build_args"
2	the expression at time 23 = `Person("John", "Smith", 25)`

Proof Table

#	Claim	Reason
1	the expression at time (23 + 1) = the expression at time 23	if expression state at time 23 = "call_build_args", then the expression at time (23 + 1) = the expression at time 23 (Call Build Args (4))
2	the expression at time (23 + 1) = `Person("John", "Smith", 25)`	if the expression at time (23 + 1) = the expression at time 23 and the expression at time 23 = `Person("John", "Smith", 25)`, then the expression at time (23 + 1) = `Person("John", "Smith", 25)` (Transitive Property of Equality)
3	23 + 1 = 24	23 + 1 = 24 (Fixed Value Statement)
4	the expression at time (23 + 1) = the expression at time 24	if 23 + 1 = 24, then the expression at time (23 + 1) = the expression at time 24 (Substitution)
5	the expression at time 24 = `Person("John", "Smith", 25)`	if the expression at time (23 + 1) = the expression at time 24 and the expression at time (23 + 1) = `Person("John", "Smith", 25)`, then the expression at time 24 = `Person("John", "Smith", 25)` (Transitive Property of Equality Variation 2)

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