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Proof step 7 from proof cast-b2i-01 (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 8:
7 ≤ i0, 0 < i0, 0 ≤ i0 ⊦ ¬ 2 ^ i0 ≤ b2i(by), cast(i0 + 1, b2i(by)) = b2i(by), ~1 = i0
Proof step 19:
7 ≤ i0, 0 < i0, 0 ≤ i0 ⊦ ¬ 2 ^ i0 + b2i(by) < 0, cast(i0 + 1, b2i(by)) = b2i(by), ~1 = i0

Rule argument

pos: right 3

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