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Proof step 49 from proof band-max (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
1 < i, 0 < i, 0 ≤ i, i < bits2uint((i % 2 = 1)'), 1 < bits2uint((i % 2 = 1)'), 0 < bits2uint((i % 2 = 1)'), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits2int(false ' + bits) = bits2uint(bits);% ⊦ int2bits(j) ≠ [];