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Proof step 2 from proof mod-lsz (previous step)

2 ^ i ≤ j, j % 2 ^ i < i, j % 2 ^ i + 1 < i, 0 ≤ j, 0 < i, j % 2 ^ i < 0, 0 < j, j % 2 ^ i + 1 < j ⊦ i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: mod-zero-06 seq: ⊦ 0 ≤ i ∧ j ≠ 0 → ¬ i % j < 0 subst: [j, i] → [2 ^ i, j] flags: rewrite

Additional information

Used simplifier rules: zero: ⊦ 0 < j → (i ^ j = 0 ↔ i = 0);%zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: 2 ^ i, j