Proof: Do Expr At Unchanged 20

Let's prove the following theorem:

if the following are true:

expression state at time 20 = "call_function_begin"
the expression at time 20 = Person("John", "Smith", 25)

then the expression at time 21 = Person("John", "Smith", 25)

Proof:

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Given

1	expression state at time 20 = "call_function_begin"
2	the expression at time 20 = `Person("John", "Smith", 25)`

Proof Table

#	Claim	Reason
1	the expression at time (20 + 1) = the expression at time 20	if expression state at time 20 = "call_function_begin", then the expression at time (20 + 1) = the expression at time 20 (Assign Parent (3))
2	the expression at time (20 + 1) = `Person("John", "Smith", 25)`	if the expression at time (20 + 1) = the expression at time 20 and the expression at time 20 = `Person("John", "Smith", 25)`, then the expression at time (20 + 1) = `Person("John", "Smith", 25)` (Transitive Property of Equality)
3	20 + 1 = 21	20 + 1 = 21 (Fixed Value Statement)
4	the expression at time (20 + 1) = the expression at time 21	if 20 + 1 = 21, then the expression at time (20 + 1) = the expression at time 21 (Substitution)
5	the expression at time 21 = `Person("John", "Smith", 25)`	if the expression at time (20 + 1) = the expression at time 21 and the expression at time (20 + 1) = `Person("John", "Smith", 25)`, then the expression at time 21 = `Person("John", "Smith", 25)` (Transitive Property of Equality Variation 2)

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