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Proof step 11 from proof cast-b2i-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
0 ≤ i0, 0 < i0, 7 ≤ i0, 2 ^ i0 ≤ b2i(by), 2 ^ i0 < 128 ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

Rule argument

Additional information

Used simplifier rules: ⊦ i ≥ j ↔ ¬ i < j;