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Proof step 22 from proof decode-contract (previous step)

buf[n + (n0 - n)] = empty, n < # buf, n0 < n + ENCODED_ELEM_SIZE, n0 < # buf, is-encoded(a, subarray(buf, n, ENCODED_ELEM_SIZE)), n ≤ n0, n + ENCODED_ELEM_SIZE ≤ # buf ⊦ buf[n0] = empty

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [n0, n, n1]

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n0, n, n1