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Proof step 29 from proof bytes2int-fillsgn-zero (previous step)

# bytes = m + 1, b2i(bytes[n]) = 0, bytes[n] = i2b(0), n ≤ m ⊦ bytes = [], m = 0, (mklist(bytes[n], m) + bytes[n] ')[n] = bytes[n]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ n < # bytes → (bytes + by ')[n] = bytes[n]

Rule argument

seq: ⊦ n < # bytes → (bytes + by ')[n] = bytes[n] subst: [n, by, bytes] → [n, bytes[n], mklist(bytes[n], m)] rotate: F spec: list-del inst: bytelist name: get-butlast

Additional information

Used simplifier rules: ⊦ m < n → mklist(by, n)[m] = by;% ⊦ m < n → n ≠ 0;% ⊦ ¬ n < # bytes → (bytes + bytes0)[n] = bytes0[n - # bytes];% ⊦ # mklist(by, n) = n;% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ ¬ m < n ↔ n ≤ m;% ⊦ m ≤ n → (n ≤ m ↔ m = n);% ⊦ m - m = 0;% ⊦ by '[0] = by; Used terms: n, bytes[n], mklist(bytes[n], m)