Proof: Do Expr At Unchanged 39

Let's prove the following theorem:

if the following are true:

expression state at time 39 = "call_function_begin"
the expression at time 39 = joe.move()

then the expression at time 40 = joe.move()

Proof:

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Given

1	expression state at time 39 = "call_function_begin"
2	the expression at time 39 = `joe.move()`

Proof Table

#	Claim	Reason
1	the expression at time (39 + 1) = the expression at time 39	if expression state at time 39 = "call_function_begin", then the expression at time (39 + 1) = the expression at time 39 (Assign Parent (3))
2	the expression at time (39 + 1) = `joe.move()`	if the expression at time (39 + 1) = the expression at time 39 and the expression at time 39 = `joe.move()`, then the expression at time (39 + 1) = `joe.move()` (Transitive Property of Equality)
3	39 + 1 = 40	39 + 1 = 40 (Fixed Value Statement)
4	the expression at time (39 + 1) = the expression at time 40	if 39 + 1 = 40, then the expression at time (39 + 1) = the expression at time 40 (Substitution)
5	the expression at time 40 = `joe.move()`	if the expression at time (39 + 1) = the expression at time 40 and the expression at time (39 + 1) = `joe.move()`, then the expression at time 40 = `joe.move()` (Transitive Property of Equality Variation 2)

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