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Proof step 8 from proof band-011x-pos (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ bits0 ≠ [] ∧ bits = false ' → bitsand(bits, bits0) = false '

Rule argument

name: and-rec-04 rotate: F subst: [bits0, bits] → [uint2bits(j), false ']

Additional information

Used simplifier rules: 0 ≤ i ⊦ uint2bits(i) ≠ [];% ⊦ bits2int(false ') = 0; Used terms: uint2bits(j), false '