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Proof step 24 from proof no-leading-zero (previous step)

int2bytes(bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255)) = i2b(0) ' + by ' + bytes1 + by0 ', 0 ≤ b2i(by), bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255) ≤ 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

Proof step 25:
⊦ i ≤ j ↔ i < j + 1
Proof step 26:
int2bytes(bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255)) = i2b(0) ' + by ' + bytes1 + by0 ', 0 ≤ b2i(by), bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255) < 255 + 1, ∀ by, bytes0. # bytes0 < #(bytes1 + by0 ') → int2bytes(bytes2int(i2b(0) ' + by ' + bytes0)) = i2b(0) ' + by ' + bytes0 ∧ 0 ≤ b2i(by) → false ⊦

Rule argument

seq: ⊦ i ≤ j ↔ i < j + 1 subst: [j, i] → [255, bytes2int(i2b(0) ' + by ' + bytes1) * 256 + band(b2i(by0), 255)] rotate: F spec: int-abs inst: name: le-rew-succ

Additional information

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