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Proof step 4 from proof intshiftrsign-abs-le (previous step)

abs(i) < abs(i i>> band(j, 31)) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 ≤ i ∧ 0 < j ∧ j < 32 → i i>> j = i / 2 ^ j
Proof step 6:
¬(0 ≤ i ∧ 0 < band(j, 31) ∧ band(j, 31) < 32), abs(i) < abs(i i>> band(j, 31)) ⊦
Proof step 26:
0 ≤ i ∧ 0 < band(j, 31) ∧ band(j, 31) < 32, abs(i) < abs(i / 2 ^ band(j, 31)) ⊦

Rule argument

name: intshiftrsign-2pot-pos rotate: F subst: [j, i] → [band(j, 31), i]

Additional information

Used terms: band(j, 31), i