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Proof step 12 from proof int2bytes-len-le (previous step)

0 ≤ i, 2 ^ (n→i(# int2bytes(i).rest) * 8) ≤ i ⊦ int2bytes(i).first = i2b(0), n ≤ # int2bytes(i) ↔ ¬ i < 2 ^ ((n→i(n) - 1) * 8)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ bytes ≠ [] → # bytes.rest = (# bytes)-1
Proof step 14:
int2bytes(i) ≠ [], 0 ≤ i, 2 ^ (n→i((# int2bytes(i))-1) * 8) ≤ i ⊦ int2bytes(i).first = i2b(0), n ≤ # int2bytes(i) ↔ ¬ i < 2 ^ ((n→i(n) - 1) * 8)

Rule argument

seq: ⊦ bytes ≠ [] → # bytes.rest = (# bytes)-1 subst: [bytes] → [int2bytes(i)] rotate: F spec: list-data inst: bytelist name: length-rest

Additional information

Used simplifier rules: int2bytes-empty: ⊦ int2bytes(i) ≠ []; Used terms: int2bytes(i)