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Proof step 2 from proof mod-add1-pospos (previous step)

0 < i, 0 ≤ j, 0 ≤ j0 ⊦ (j * 2 ^ i + j0) % 2 ^ i = j0 % 2 ^ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
0 < i, 0 ≤ j0, 0 ≤ j ⊦ (j * 2 ^ i + j0) % 2 ^ i = j0 % 2 ^ i

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs