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Proof step 2 from proof int2bytes-len-le-upper (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ m ≤ n ↔ n < m
Proof step 4:
int2bytes(i).first = i2b(0), 0 ≤ i ⊦ ¬ n < # int2bytes(i) ↔ ¬ 2 ^ (n→i(n) * 8 - 1) ≤ i

Rule argument

seq: ⊦ ¬ m ≤ n ↔ n < m subst: [n, m] → [n, # int2bytes(i)] rotate: F spec: nat inst: name: lels-01

Additional information

Used terms: n, # int2bytes(i)