Proof: Do Expr At Unchanged 69

Let's prove the following theorem:

if the following are true:

expression state at time 69 = "call_function_begin"
the expression at time 69 = joe.jump()

then the expression at time 70 = joe.jump()

Proof:

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Given

1	expression state at time 69 = "call_function_begin"
2	the expression at time 69 = `joe.jump()`

Proof Table

#	Claim	Reason
1	the expression at time (69 + 1) = the expression at time 69	if expression state at time 69 = "call_function_begin", then the expression at time (69 + 1) = the expression at time 69 (Assign Parent (3))
2	the expression at time (69 + 1) = `joe.jump()`	if the expression at time (69 + 1) = the expression at time 69 and the expression at time 69 = `joe.jump()`, then the expression at time (69 + 1) = `joe.jump()` (Transitive Property of Equality)
3	69 + 1 = 70	69 + 1 = 70 (Fixed Value Statement)
4	the expression at time (69 + 1) = the expression at time 70	if 69 + 1 = 70, then the expression at time (69 + 1) = the expression at time 70 (Substitution)
5	the expression at time 70 = `joe.jump()`	if the expression at time (69 + 1) = the expression at time 70 and the expression at time (69 + 1) = `joe.jump()`, then the expression at time 70 = `joe.jump()` (Transitive Property of Equality Variation 2)

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