Proof: Get Begin Expr Value 54

Let's prove the following theorem:

if the following are true:

expression state at time 54 = "begin_expr"
the expression at time 54 = p.age_in_months()
Value Stack at time 54 = [ ]

then Value Stack at time 55 = [ [ ], [ ] ]

Proof:

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Given

1	expression state at time 54 = "begin_expr"
2	the expression at time 54 = `p.age_in_months()`
3	Value Stack at time 54 = [ ]

Proof Table

#	Claim	Reason
1	Value Stack at time (54 + 1) = [ [ ], Value Stack at time 54 ]	if expression state at time 54 = "begin_expr" and the expression at time 54 = `p.age_in_months()`, then Value Stack at time (54 + 1) = [ [ ], Value Stack at time 54 ] (Begin Method Arguments (1))
2	[ [ ], Value Stack at time 54 ] = [ [ ], [ ] ]	if Value Stack at time 54 = [ ], then [ [ ], Value Stack at time 54 ] = [ [ ], [ ] ] (Substitution)
3	Value Stack at time (54 + 1) = [ [ ], [ ] ]	if Value Stack at time (54 + 1) = [ [ ], Value Stack at time 54 ] and [ [ ], Value Stack at time 54 ] = [ [ ], [ ] ], then Value Stack at time (54 + 1) = [ [ ], [ ] ] (Transitive Property of Equality)
4	54 + 1 = 55	54 + 1 = 55 (Fixed Value Statement)
5	Value Stack at time (54 + 1) = Value Stack at time 55	if 54 + 1 = 55, then Value Stack at time (54 + 1) = Value Stack at time 55 (Substitution)
6	Value Stack at time 55 = [ [ ], [ ] ]	if Value Stack at time (54 + 1) = Value Stack at time 55 and Value Stack at time (54 + 1) = [ [ ], [ ] ], then Value Stack at time 55 = [ [ ], [ ] ] (Transitive Property of Equality Variation 2)

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