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Proof step 1 from proof mod2-2pot-01 (conclusion)

⊦ 0 ≤ i ∧ 0 ≤ j → (j % 2 ^ (i + 1)) / 2 = (j / 2) % 2 ^ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 ≤ j, 0 ≤ i ⊦ (j % 2 ^ (i + 1)) / 2 = (j / 2) % 2 ^ i

Rule argument

Additional information

Used simplifier rules: mone-06: ⊦ ~1 < i ↔ 0 ≤ i; from specification int-abs%numlef-01: ⊦ (* i) ≤ j → i - 1 < j; (forward) from specification int-abs