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Proof step 4 from proof le-2pot-succ (previous step)

2 ^ i ≤ j * 2 ^ i0 + 1, 0 < i, 0 < i0, 0 < j ⊦ 2 ^ i ≤ j * 2 ^ i0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i ≤ j ↔ ¬ j < i
Proof step 6:
2 ^ i ≤ j * 2 ^ i0 + 1, 0 < i, 0 < i0, 0 < j ⊦ ¬ j * 2 ^ i0 < 2 ^ i

Rule argument

spec: int-abs inst: name: le-def seq: ⊦ i ≤ j ↔ ¬ j < i subst: [j, i] → [j * 2 ^ i0, 2 ^ i] flags: rewrite

Additional information

Used terms: j * 2 ^ i0, 2 ^ i