Proof: Do Stack At Unchanged 75

Let's prove the following theorem:

if the following are true:

expression state at time 75 = "call_returned"
stack at time 75 = [ ]

then stack at time 76 = [ ]

Proof:

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Given

1	expression state at time 75 = "call_returned"
2	stack at time 75 = [ ]

Proof Table

#	Claim	Reason
1	stack at time (75 + 1) = stack at time 75	if expression state at time 75 = "call_returned", then stack at time (75 + 1) = stack at time 75 (Call Returned Unchanged (4))
2	stack at time (75 + 1) = [ ]	if stack at time (75 + 1) = stack at time 75 and stack at time 75 = [ ], then stack at time (75 + 1) = [ ] (Transitive Property of Equality)
3	75 + 1 = 76	75 + 1 = 76 (Fixed Value Statement)
4	stack at time (75 + 1) = stack at time 76	if 75 + 1 = 76, then stack at time (75 + 1) = stack at time 76 (Substitution)
5	stack at time 76 = [ ]	if stack at time (75 + 1) = stack at time 76 and stack at time (75 + 1) = [ ], then stack at time 76 = [ ] (Transitive Property of Equality Variation 2)

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