Proof: Get Begin Expr State 70

Let's prove the following theorem:

if the following are true:

the expression at time 70 = 12
expression state at time 70 = "begin_expr"
12 is constant
parent stack at time 70 = [ __mul__(self.age, 12), [ ] ]

then expression state at time 71 = "return"

Proof:

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Given

1	the expression at time 70 = 12
2	expression state at time 70 = "begin_expr"
3	12 is constant
4	parent stack at time 70 = [ `__mul__(self.age, 12)`, [ ] ]

Proof Table

#	Claim	Reason
1	expression state at time (70 + 1) = "return"	if expression state at time 70 = "begin_expr" and the expression at time 70 = 12 and 12 is constant and parent stack at time 70 = [ `__mul__(self.age, 12)`, [ ] ], then expression state at time (70 + 1) = "return" (Evaluate Constant Argument State Property)
2	70 + 1 = 71	70 + 1 = 71 (Fixed Value Statement)
3	expression state at time (70 + 1) = expression state at time 71	if 70 + 1 = 71, then expression state at time (70 + 1) = expression state at time 71 (Substitution)
4	expression state at time 71 = "return"	if expression state at time (70 + 1) = expression state at time 71 and expression state at time (70 + 1) = "return", then expression state at time 71 = "return" (Transitive Property of Equality Variation 2)

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