Proof: Do Tab At Unchanged 4

Let's prove the following theorem:

if the following are true:
  • expression state at time 4 = "iterate_args"
  • the tab at time 4 = 0

then the tab at time 5 = 0

Proof:

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Given
1 expression state at time 4 = "iterate_args"
2 the tab at time 4 = 0
Proof Table
# Claim Reason
1 the tab at time (4 + 1) = the tab at time 4 if expression state at time 4 = "iterate_args", then the tab at time (4 + 1) = the tab at time 4
2 the tab at time (4 + 1) = 0 if the tab at time (4 + 1) = the tab at time 4 and the tab at time 4 = 0, then the tab at time (4 + 1) = 0
3 4 + 1 = 5 4 + 1 = 5
4 the tab at time (4 + 1) = the tab at time 5 if 4 + 1 = 5, then the tab at time (4 + 1) = the tab at time 5
5 the tab at time 5 = 0 if the tab at time (4 + 1) = the tab at time 5 and the tab at time (4 + 1) = 0, then the tab at time 5 = 0

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