Proof: Do Tab At Unchanged 36

Let's prove the following theorem:

if the following are true:
  • expression state at time 36 = "iterate_args"
  • the tab at time 36 = 2

then the tab at time 37 = 2

Proof:

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Given
1 expression state at time 36 = "iterate_args"
2 the tab at time 36 = 2
Proof Table
# Claim Reason
1 the tab at time (36 + 1) = the tab at time 36 if expression state at time 36 = "iterate_args", then the tab at time (36 + 1) = the tab at time 36
2 the tab at time (36 + 1) = 2 if the tab at time (36 + 1) = the tab at time 36 and the tab at time 36 = 2, then the tab at time (36 + 1) = 2
3 36 + 1 = 37 36 + 1 = 37
4 the tab at time (36 + 1) = the tab at time 37 if 36 + 1 = 37, then the tab at time (36 + 1) = the tab at time 37
5 the tab at time 37 = 2 if the tab at time (36 + 1) = the tab at time 37 and the tab at time (36 + 1) = 2, then the tab at time 37 = 2

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