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Proof step 12 from proof band-max (previous step)

0 < bits2int(bitsand(false ', int2bits(j))), ∀ i0, j. i→n(i0) < i→n(0) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ bits0 ≠ [] ∧ bits = false ' → bitsand(bits, bits0) = false '

Rule argument

name: and-rec-04 rotate: F subst: [bits0, bits] → [int2bits(j), false ']

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ [];% ⊦ bits2int(false ') = 0; Used terms: int2bits(j), false '