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Proof step 8 from proof fix-value (previous step)

# bytes < n, 0 ≤ bytes2int(bytes) ⊦ # bytes = n, bytes2int(fix(n, bytes)) = bytes2int(bytes), bytes = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ # bytes < n ∧ 0 ≤ bytes2int(bytes) → fix(n, bytes) = mklist(i2b(0), n - # bytes) + bytes
Proof step 10:
# bytes < n ∧ 0 ≤ bytes2int(bytes), # bytes < n, 0 ≤ bytes2int(bytes) ⊦ # bytes = n, bytes2int(mklist(i2b(0), n - # bytes) + bytes) = bytes2int(bytes), bytes = []

Rule argument

name: fix-pos rotate: F subst: [bytes, n] → [bytes, n]

Additional information

Used simplifier rules: ⊦ m ≠ n → (¬ m < n ↔ n < m);% ⊦ m < n → ¬ n < m;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: bytes, n