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Proof step 5 from proof band-011x-is-unsigned-01 (previous step)

abs(j) ≤ 2 ^ n→i(1 + i→n(i) - 2), 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 6:
⊦ abs(j) ≤ 2 ^ (i - 1) ∧ 0 < i → band(j, 2 ^ i - 1) = bits2uint(fillsgn(i→n(i), int2bits(j)))
Proof step 7:
¬(abs(j) ≤ 2 ^ (i - 1) ∧ 0 < i), abs(j) ≤ 2 ^ n→i(1 + i→n(i) - 2), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(fillsgn(i→n(i), int2bits(j)))

Rule argument

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

Additional information

Used terms: i, j