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Proof step 10 from proof fillsgn-fix (previous step)

0 ≤ bytes2int(bytes) ⊦ mklist(i2b(0), n0) + bytes = fix(n0 + # bytes, bytes), n0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ # bytes < n ∧ 0 ≤ bytes2int(bytes) → fix(n, bytes) = mklist(i2b(0), n - # bytes) + bytes

Rule argument

name: fix-pos rotate: F subst: [bytes, n] → [bytes, n0 + # bytes]

Additional information

Used simplifier rules: ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ bytes + bytes0 = bytes + bytes1 ↔ bytes0 = bytes1;% ⊦ m + n - m = n;% ⊦ ¬ m < n ↔ n ≤ m;% ⊦ m + n ≤ m ↔ n = 0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: bytes, n0 + # bytes