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Proof step 33 from proof no-leading-zero-01 (previous step)

int2bytes(i1 / 256) = i2b(0) ' + by ' + bytes0, i2b(0) ∈ int2bytes(i1 / 256), i1 < 0, i1 < ~383, 0 ≤ b2i(by), i1 / 256 ≤ 255 + i1, ∀ bytes, by, i0. i→n(i0) < i→n(i1 + 255) → int2bytes(i0) = i2b(0) ' + by ' + bytes ∧ 0 ≤ b2i(by) ∧ i2b(0) ∈ int2bytes(i0) → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ i ≤ j ↔ i < j + 1
Proof step 35:
int2bytes(i1 / 256) = i2b(0) ' + by ' + bytes0, i2b(0) ∈ int2bytes(i1 / 256), i1 < 0, i1 < ~383, 0 ≤ b2i(by), i1 / 256 < (255 + i1) + 1, ∀ bytes, by, i0. i→n(i0) < i→n(i1 + 255) → int2bytes(i0) = i2b(0) ' + by ' + bytes ∧ 0 ≤ b2i(by) ∧ i2b(0) ∈ int2bytes(i0) → false ⊦

Rule argument

seq: ⊦ i ≤ j ↔ i < j + 1 subst: [j, i] → [255 + i1, i1 / 256] rotate: F spec: int-abs inst: name: le-rew-succ

Additional information

Used terms: 255 + i1, i1 / 256