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Proof step 25 from proof band-011x-eq (previous step)

0 ≤ i - j ∧ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i, 0 ≤ i, 0 ≤ j ⊦ (i - j) % (i + 1) + j % (i + 1) = i, false ∈ int2bits(i).rest

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + 0 = i;% ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;