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Proof step 2 from proof band-011x-is-unsigned (previous step)

abs(j) ≤ 2 ^ (i - 1), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(fillsgn(i→n(i), int2bits(j)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ j ∧ 0 ≤ i → band(j, 2 ^ i - 1) = j % 2 ^ i
Proof step 4:
¬(0 ≤ j ∧ 0 ≤ i), abs(j) ≤ 2 ^ (i - 1), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(fillsgn(i→n(i), int2bits(j)))
Proof step 25:
0 ≤ j ∧ 0 ≤ i, abs(j) ≤ 2 ^ (i - 1), 0 < i ⊦ j % 2 ^ i = bits2uint(fillsgn(i→n(i), int2bits(j)))

Rule argument

name: band-011x-pos rotate: F subst: [i, j] → [i, j]

Additional information

Used terms: i, j