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Proof step 11 from proof int2bytes-leading-zeros (previous step)

int2bytes(i) = i2b(0) ' + i2b(0) ' + bytes, 0 ≤ i, i ≤ 255, ∀ bytes, i0. i→n(i0) < i→n(i) → int2bytes(i0) = i2b(0) ' + i2b(0) ' + bytes ∧ 0 ≤ i0 → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
127 < i, i ≤ 255 ⊦ int2bytes(i) = i2b(0) ' + i2b(i - 256) '
Proof step 13:
¬(127 < i ∧ i ≤ 255), int2bytes(i) = i2b(0) ' + i2b(0) ' + bytes, 0 ≤ i, i ≤ 255, ∀ bytes, i0. i→n(i0) < i→n(i) → int2bytes(i0) = i2b(0) ' + i2b(0) ' + bytes ∧ 0 ≤ i0 → false ⊦
Proof step 16:
127 < i ∧ i ≤ 255, i2b(0) ' + i2b(i - 256) ' = i2b(0) ' + i2b(0) ' + bytes, 0 ≤ i, i ≤ 255, ∀ bytes, i0. i→n(i0) < i→n(i) → int2bytes(i0) = i2b(0) ' + i2b(0) ' + bytes ∧ 0 ≤ i0 → false ⊦

Rule argument

name: int2bytes-le255 rotate: F subst: [i] → [i]

Additional information

Used terms: i