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Proof step 12 from proof cast-b2i-01 (previous step)

0 ≤ i0, 0 < i0, 7 ≤ i0, 2 ^ i0 ≤ b2i(by), 2 ^ i0 < 128 ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ i ≤ j ↔ i < j + 1
Proof step 14:
0 ≤ i0, 0 < i0, 7 ≤ i0, 2 ^ i0 < b2i(by) + 1, 2 ^ i0 < 128 ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

Rule argument

seq: ⊦ i ≤ j ↔ i < j + 1 subst: [j, i] → [b2i(by), 2 ^ i0] rotate: F spec: int-abs inst: name: le-rew-succ

Additional information

Used terms: b2i(by), 2 ^ i0