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Proof step 1 from proof int2bytes-len-ls-neg-02 (conclusion)

⊦ i < 0 ∧ int2bytes(i).first ≠ i2b(~1) → (# int2bytes(i) < n ↔ ~(2 ^ (8 * (n→i(n) - 1))) ≤ i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ¬ m < n ↔ n ≤ m
Proof step 3:
⊦ i < 0 ∧ int2bytes(i).first ≠ i2b(~1) → (¬ n ≤ # int2bytes(i) ↔ ~(2 ^ (8 * (n→i(n) - 1))) ≤ i)

Rule argument

seq: ⊦ ¬ m < n ↔ n ≤ m subst: [n, m] → [n, # int2bytes(i)] rotate: F spec: nat inst: name: lels

Additional information

Used terms: n, # int2bytes(i)