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Proof step 32 from proof band-011x-neg-03 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
0 ≤ i, j ≤ i + 1, 0 < j ⊦ 1 = (1 - j) % (i + 1) + j, false ∈ int2bits(i).rest

Rule argument

Additional information

Used simplifier rules: ⊦ i + j < i + i0 ↔ j < i0;% ⊦ i - j < i0 ↔ i < j + i0;% ⊦ i + 0 = i;% ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;% ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j;% ⊦ ~1 < i ↔ 0 ≤ i;% ⊦ (* j) < i0 + (* j0) ↔ j - j0 < i0;% ⊦ i + j = i + i0 ↔ j = i0;% ⊦ i - j = i0 ↔ i = i0 + j;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;