Proof: Do Stack At Unchanged 7

Let's prove the following theorem:

if the following are true:

expression state at time 7 = "iterate_args"
stack at time 7 = [ ]

then stack at time 8 = [ ]

Proof:

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Given

1	expression state at time 7 = "iterate_args"
2	stack at time 7 = [ ]

Proof Table

#	Claim	Reason
1	stack at time (7 + 1) = stack at time 7	if expression state at time 7 = "iterate_args", then stack at time (7 + 1) = stack at time 7 (Iterate Insn (5))
2	stack at time (7 + 1) = [ ]	if stack at time (7 + 1) = stack at time 7 and stack at time 7 = [ ], then stack at time (7 + 1) = [ ] (Transitive Property of Equality)
3	7 + 1 = 8	7 + 1 = 8 (Fixed Value Statement)
4	stack at time (7 + 1) = stack at time 8	if 7 + 1 = 8, then stack at time (7 + 1) = stack at time 8 (Substitution)
5	stack at time 8 = [ ]	if stack at time (7 + 1) = stack at time 8 and stack at time (7 + 1) = [ ], then stack at time 8 = [ ] (Transitive Property of Equality Variation 2)

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