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Proof step 1 from proof int2bytes-len-ls-neg-01 (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

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

Rule argument

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

Additional information

Used terms: # int2bytes(i), n