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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
0 ≤ i, 0 ≤ j, 0 < j, i < j ⊦ j % (i + 1) + (1 + i - j) % (i + 1) = 0, false ∈ int2bits(i).rest

Rule argument

Additional information

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