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Proof step 27 from proof long-shiftzero-in (previous step)

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

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 28:
⊦ i >> j ≤ abs(i)
Proof step 29:
l2i(lo) >> band(j, 63) ≤ abs(l2i(lo)), 0 ≤ l2i(lo), 0 < l2i(lo) >> band(j, 63), 9223372036854775807 < l2i(lo) >> band(j, 63) ⊦

Rule argument

seq: ⊦ i >> j ≤ abs(i) subst: [i, j] → [l2i(lo), band(j, 63)] rotate: F spec: intops inst: name: shiftright-is-le

Additional information

Used terms: l2i(lo), band(j, 63)