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Proof step 53 from proof band-max (previous step)

0 < i, 1 < i, 0 ≤ i, i < bits2int(int2bits(i / 2) + (i % 2 = 1)'), 1 < bits2int(int2bits(i / 2) + (i % 2 = 1)'), 0 < bits2int(int2bits(i / 2) + (i % 2 = 1)'), 0 ≤ bits2int(int2bits(i / 2) + (i % 2 = 1)'), ∀ 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: ⊦ 1 < i → int2bits(i) = int2bits(i / 2) + (i % 2 = 1)' subst: [i] → [i] rotate: T spec: int2bits inst: name: int2bits-rec-pos-01

Additional information

Used simplifier rules: ⊦ bits2int(int2bits(i)) = i;% ⊦ ¬ i < i; Used terms: i