Proof: Do Expr At Unchanged 15

Let's prove the following theorem:

if the following are true:

expression state at time 15 = "call_build_args"
the expression at time 15 = Dog()

then the expression at time 16 = Dog()

Proof:

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Given

1	expression state at time 15 = "call_build_args"
2	the expression at time 15 = `Dog()`

Proof Table

#	Claim	Reason
1	the expression at time (15 + 1) = the expression at time 15	if expression state at time 15 = "call_build_args", then the expression at time (15 + 1) = the expression at time 15 (Call Build Args (4))
2	the expression at time (15 + 1) = `Dog()`	if the expression at time (15 + 1) = the expression at time 15 and the expression at time 15 = `Dog()`, then the expression at time (15 + 1) = `Dog()` (Transitive Property of Equality)
3	15 + 1 = 16	15 + 1 = 16 (Fixed Value Statement)
4	the expression at time (15 + 1) = the expression at time 16	if 15 + 1 = 16, then the expression at time (15 + 1) = the expression at time 16 (Substitution)
5	the expression at time 16 = `Dog()`	if the expression at time (15 + 1) = the expression at time 16 and the expression at time (15 + 1) = `Dog()`, then the expression at time 16 = `Dog()` (Transitive Property of Equality Variation 2)

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