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Proof step 13 from proof fillsgn-fix (previous step)

# bytes < n, bytes2int(bytes) < 0 ⊦ mklist(i2b(~1), n - # bytes) + bytes = fix(n, bytes)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
n = n0 + # bytes ∧ # bytes ≤ n, # bytes < n, bytes2int(bytes) < 0 ⊦ mklist(i2b(~1), n0) + bytes = fix(n, bytes)

Rule argument

seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [n, # bytes, n0] rotate: T spec: nat inst: name: elim-sub

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m;%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n, # bytes, n0