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Proof step 3 from proof mod-lesame (previous step)

0 < i, 2 ^ i ≤ j % 2 ^ i ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 0 < j → ¬ j ≤ i % j

Rule argument

spec: int-div name: mod-les seq: ⊦ 0 < j → ¬ j ≤ i % j subst: [i, j] → [j, 2 ^ i] flags: <all paths>

Additional information

Used simplifier rules: pot2-pos: ⊦ 0 < 2 ^ i ↔ 0 ≤ i;% ⊦ i ≤ j ↔ ¬ j < i; (ss)% ⊦ i < j → ¬ j < i; (s) Used terms: j, 2 ^ i