Proof: Do Stack At Unchanged 4

Let's prove the following theorem:

if the following are true:
  • expression state at time 4 = "iterate_args"
  • stack at time 4 = [ ]

then stack at time 5 = [ ]

Proof:

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Given
1 expression state at time 4 = "iterate_args"
2 stack at time 4 = [ ]
Proof Table
# Claim Reason
1 stack at time (4 + 1) = stack at time 4 if expression state at time 4 = "iterate_args", then stack at time (4 + 1) = stack at time 4
2 stack at time (4 + 1) = [ ] if stack at time (4 + 1) = stack at time 4 and stack at time 4 = [ ], then stack at time (4 + 1) = [ ]
3 4 + 1 = 5 4 + 1 = 5
4 stack at time (4 + 1) = stack at time 5 if 4 + 1 = 5, then stack at time (4 + 1) = stack at time 5
5 stack at time 5 = [ ] if stack at time (4 + 1) = stack at time 5 and stack at time (4 + 1) = [ ], then stack at time 5 = [ ]

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