Proof: Do Tab At Unchanged 63

Let's prove the following theorem:

if the following are true:

expression state at time 63 = "iterate_args"
the tab at time 63 = 2

then the tab at time 64 = 2

Proof:

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Given

1	expression state at time 63 = "iterate_args"
2	the tab at time 63 = 2

Proof Table

#	Claim	Reason
1	the tab at time (63 + 1) = the tab at time 63	if expression state at time 63 = "iterate_args", then the tab at time (63 + 1) = the tab at time 63 (Iterate Insn (4))
2	the tab at time (63 + 1) = 2	if the tab at time (63 + 1) = the tab at time 63 and the tab at time 63 = 2, then the tab at time (63 + 1) = 2 (Transitive Property of Equality)
3	63 + 1 = 64	63 + 1 = 64 (Fixed Value Statement)
4	the tab at time (63 + 1) = the tab at time 64	if 63 + 1 = 64, then the tab at time (63 + 1) = the tab at time 64 (Substitution)
5	the tab at time 64 = 2	if the tab at time (63 + 1) = the tab at time 64 and the tab at time (63 + 1) = 2, then the tab at time 64 = 2 (Transitive Property of Equality Variation 2)

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