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Proof step 27 from proof band-011x-pos (previous step)

0 < i, ∀ j0, i. i→n(j0) < i→n(1) → 0 ≤ j0 ∧ 0 ≤ j0 ∧ 0 ≤ i → bits2int(bitsand(false ' + mklist(true, i→n(i)), uint2bits(j0))) = j0 % 2 ^ i ⊦ i = 0, 1 = 1 % 2 ^ i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ 1 < j → 1 % j = 1

Rule argument

seq: ⊦ 1 < j → 1 % j = 1 subst: [j] → [2 ^ i] rotate: F spec: int-div inst: name: one-03

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ 2 ^ i ≤ 1 ↔ i < 1;% ⊦ i < 1 ↔ i ≤ 0;% ⊦ i ≠ j → (i ≤ j ↔ i < j);% ⊦ i < j → ¬ j < i; Used terms: 2 ^ i