Proof: Do Expr At Unchanged 24

Let's prove the following theorem:

if the following are true:

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

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

Proof:

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Given

1	expression state at time 24 = "call_build_args"
2	the expression at time 24 = `Person("John", "Smith", 25)`

Proof Table

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

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