Step
*
of Lemma
iterate-null-process
∀[n:Top]. ∀[inputs:Top List]. (null-process(n)*(inputs) ~ null-process(n))
BY
{ (RepUR ``iterate-process null-process rec-process`` 0
THEN (InductionOnList
THEN Reduce 0
THEN Try (Trivial)
THEN NthHypSq (-1)
THEN RepeatFor 2 (EqCD)
THEN Try (Trivial)
THEN RW (AddrC [1;1] UnrollRecursionC) 0
THEN Reduce 0
THEN Auto)
) }
Latex:
\mforall{}[n:Top]. \mforall{}[inputs:Top List]. (null-process(n)*(inputs) \msim{} null-process(n))
By
(RepUR ``iterate-process null-process rec-process`` 0
THEN (InductionOnList
THEN Reduce 0
THEN Try (Trivial)
THEN NthHypSq (-1)
THEN RepeatFor 2 (EqCD)
THEN Try (Trivial)
THEN RW (AddrC [1;1] UnrollRecursionC) 0
THEN Reduce 0
THEN Auto)
)
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