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Proof step 31 from proof band-011x-eq (previous step)

0 < 2 ^ i0 ∧ 0 ≤ j ∧ j < 2 ^ i0, 0 ≤ i0, j < 2 ^ i0, 0 ≤ j ⊦ 2 ^ i0 = (j + (2 ^ i0 - 1 + j) % 2 ^ i0) + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
0 ≤ i0, j < 2 ^ i0, 0 ≤ j ⊦ 2 ^ i0 = (j + (2 ^ i0 - 1 + j) % 2 ^ i0) + 1

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j;% ⊦ 0 < 2 ^ i ↔ 0 ≤ i;