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Proof step 14 from proof band-max (previous step)

i < bits2int(bitsand(int2bits(i), int2bits(j))), 0 ≤ i, 0 < bits2int(bitsand(int2bits(i), int2bits(j))), i ≤ 1, ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ i = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: i0 ≠ 0, i0 ≤ i ⊦ (* i) < j → (* i0) < j;% ⊦ boolvar + boolvar0 = boolvar ' + boolvar0 ';% ⊦ uint2bits(1) = false + true;%0 ≤ i ⊦ int2bits((* i)) = uint2bits(i);% ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ 0 < i → (i ≤ 1 ↔ i = 1);% ⊦ i ≠ j → (i ≤ j ↔ i < j);