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Proof step 8 from proof int2bytes-len-le-neg-02 (previous step)

i < 0, 2 ^ (8 * n→i(# int2bytes(i).rest)) + i < 0 ⊦ int2bytes(i).first = i2b(~1), # int2bytes(i) ≤ n ↔ ¬ 2 ^ (8 * n→i(n)) + i < 0, b2i(int2bytes(i).first) = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ bytes ≠ [] → # bytes.rest = (# bytes)-1
Proof step 10:
int2bytes(i) ≠ [], i < 0, 2 ^ (8 * n→i((# int2bytes(i))-1)) + i < 0 ⊦ int2bytes(i).first = i2b(~1), # int2bytes(i) ≤ n ↔ ¬ 2 ^ (8 * n→i(n)) + i < 0, b2i(int2bytes(i).first) = ~1

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)