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Proof step 19 from proof band-011x-neg-03 (previous step)

i + 1 - j < 0 ∧ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i, 0 ≤ i, 0 < j, i + 1 < j ⊦ (1 - j) % (i + 1) + i = ((i + 1 - j) + 1) % (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 < i0 ∧ ¬ j < j0 → i + j0 < i0;% ⊦ i + 0 = i;% ⊦ i - j < i0 ↔ i < j + i0;% ⊦ i + j = i + i0 ↔ j = i0;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + (j - i0) = i + j - i0;