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Proof step 59 from proof no-leading-zero (previous step)

int2bytes((bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255)) / 256) = i2b(0) ' + by ' + bytes1, int2bytes((bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255)) % 256).last = by0, 255 < bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255), 0 ≤ b2i(by), 0 < bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255), ∀ by, bytes0. # bytes0 < #(bytes1 + by0 ') → int2bytes(bytes2int(i2b(0) ' + by ' + bytes0)) = i2b(0) ' + by ' + bytes0 ∧ 0 ≤ b2i(by) → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 < j ∧ 0 ≤ i ∧ 0 ≤ i0 ∧ i0 < j → (i * j + i0) / j = i subst: [i0, j, i] → [band(b2i(by0), 255), 256, bytes2int(i2b(0) ' + by ' + bytes1)] rotate: F spec: int-div inst: name: div-mult-pos-02

Additional information

Used terms: band(b2i(by0), 255), 256, bytes2int(i2b(0) ' + by ' + bytes1)