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Proof step 12 from proof shiftright-byte-8-pos-01 (previous step)

0 ≤ j, 0 < j, 0 ≤ b2i(by), 8 ≤ j, 2 ^ j ≤ b2i(by), 2 ^ j < 128 ⊦ 2 ^ 8 ≤ 2 ^ j, b2i(by) / 2 ^ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ 0 ≤ i → (2 ^ i ≤ 2 ^ j ↔ i ≤ j)

Rule argument

seq: ⊦ 0 ≤ i → (2 ^ i ≤ 2 ^ j ↔ i ≤ j) subst: [j, i] → [j, 8] rotate: F spec: int-pot inst: name: two-le

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;%j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0); Used terms: j, 8