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Proof step 17 from proof cast-b2i-01 (previous step)

2 ^ i0 < 2 ^ 7, 0 ≤ i0, 0 < i0, 7 ≤ i0, 2 ^ i0 ≤ b2i(by) ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ 0 ≤ j → (2 ^ j < 2 ^ j0 ↔ j < j0)

Rule argument

seq: ⊦ 0 ≤ j → (2 ^ j < 2 ^ j0 ↔ j < j0) subst: [j0, j] → [7, i0] rotate: F spec: int-pot inst: name: ls-pos-2pot

Additional information

Used simplifier rules: ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: 7, i0