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Proof step 8 from proof int2bits-len-mod2pot (previous step)

0 < i, 0 < j, 2 ^ i ≤ j % 2 ^ i, 0 < j % 2 ^ i ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 0 < j → ¬ j ≤ i % j

Rule argument

seq: ⊦ 0 < j → ¬ j ≤ i % j subst: [i, j] → [j, 2 ^ i] rotate: F spec: int-div inst: name: mod-les

Additional information

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