Proof: Do Variables At Unchanged 14

Let's prove the following theorem:

if the following are true:

expression state at time 14 = "call_function_begin"
Variables Map at time 14 = [ ]

then Variables Map at time 15 = [ ]

Proof:

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Given

1	expression state at time 14 = "call_function_begin"
2	Variables Map at time 14 = [ ]

Proof Table

#	Claim	Reason
1	Variables Map at time (14 + 1) = Variables Map at time 14	if expression state at time 14 = "call_function_begin", then Variables Map at time (14 + 1) = Variables Map at time 14 (Assign Parent (5))
2	Variables Map at time (14 + 1) = [ ]	if Variables Map at time (14 + 1) = Variables Map at time 14 and Variables Map at time 14 = [ ], then Variables Map at time (14 + 1) = [ ] (Transitive Property of Equality)
3	14 + 1 = 15	14 + 1 = 15 (Fixed Value Statement)
4	Variables Map at time (14 + 1) = Variables Map at time 15	if 14 + 1 = 15, then Variables Map at time (14 + 1) = Variables Map at time 15 (Substitution)
5	Variables Map at time 15 = [ ]	if Variables Map at time (14 + 1) = Variables Map at time 15 and Variables Map at time (14 + 1) = [ ], then Variables Map at time 15 = [ ] (Transitive Property of Equality Variation 2)

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