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Proof step 82 from proof band-max (previous step)

i % 2 = 1, j % 2 = 1, 0 < i, 1 < i, 0 ≤ i, i < bits2int(bitsand(int2bits(i / 2), int2bits(j / 2)) + true '), 1 < j, 0 < j, 1 < bits2int(bitsand(int2bits(i / 2), int2bits(j / 2)) + true '), 0 < bits2int(bitsand(int2bits(i / 2), int2bits(j / 2)) + true '), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ boolvar ∧ ¬ bits.first ∧ bits ≠ [] → bits2int(bits + boolvar ') = bits2int(bits) * 2 + 1 subst: [boolvar, bits] → [true, bitsand(int2bits(i / 2), int2bits(j / 2))] rotate: F spec: int2bits inst: name: bits2int-rec

Additional information

Used terms: true, bitsand(int2bits(i / 2), int2bits(j / 2))