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Proof step 12 from proof bytes2int-neg (previous step)

¬ 0 ≤ bytes2int(by ' + bytes) ↔ b2i(by) < 0, ∀ bytes0. # bytes0 < #(by + (bytes + by0 ')) → true → bytes0 ≠ [] → (bytes2int(bytes0) < 0 ↔ b2i(bytes0.first) < 0) ⊦ band(255, b2i(by0)) + 256 * bytes2int(by ' + bytes) < 0 ↔ ¬ 0 ≤ b2i(by)

User applied rule case distinction

And obtained the following new goals

Proof step 13:
band(255, b2i(by0)) + 256 * bytes2int(by ' + bytes) < 0, ¬ 0 ≤ bytes2int(by ' + bytes) ↔ b2i(by) < 0, ∀ bytes0. # bytes0 < #(by + (bytes + by0 ')) → true → bytes0 ≠ [] → (bytes2int(bytes0) < 0 ↔ b2i(bytes0.first) < 0) ⊦ ¬ 0 ≤ b2i(by)
Proof step 16:
¬ 0 ≤ b2i(by), ¬ 0 ≤ bytes2int(by ' + bytes) ↔ b2i(by) < 0, ∀ bytes0. # bytes0 < #(by + (bytes + by0 ')) → true → bytes0 ≠ [] → (bytes2int(bytes0) < 0 ↔ b2i(bytes0.first) < 0) ⊦ band(255, b2i(by0)) + 256 * bytes2int(by ' + bytes) < 0

Rule argument

pos: right 1

Proof step 12 from proof bytes2int-neg (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information