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Proof step 30 from proof long-shiftzero-in (previous step)

0 < l2i(lo), 9223372036854775807 < l2i(lo) >> band(j, 63), l2i(lo) >> band(j, 63) ≤ l2i(lo), 0 ≤ l2i(lo), 0 < l2i(lo) >> band(j, 63), 9223372036854775807 < l2i(lo) ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 31:
⊦ l2i(lo) ∈long
Proof step 32:
l2i(lo) ∈long, 0 < l2i(lo), 9223372036854775807 < l2i(lo) >> band(j, 63), l2i(lo) >> band(j, 63) ≤ l2i(lo), 0 ≤ l2i(lo), 0 < l2i(lo) >> band(j, 63), 9223372036854775807 < l2i(lo) ⊦

Rule argument

name: long2int-in subst: [lo] → [lo]

Additional information

Used terms: lo