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Proof step 7 from proof band-011x-neg-03 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j ≤ 0, 0 ≤ i, j ≤ i + 1 ⊦ band(~ j, i) = (i + 1 - j) % (i + 1), false ∈ int2bits(i).rest

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;