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Proof step 27 from proof abs-nodes-crash-h (previous step)

# buf2 = NODE_HEADER_SIZE, n0 < NODE_HEADER_SIZE + # buf, abs-nodes(buf1, 2 * NODE_HEADER_SIZE + m + # buf, [], [], true), is-aligned(# buf, 2 * NODE_HEADER_SIZE), is-aligned(n0, NODE_HEADER_SIZE), is-encoded(nodeheader(# buf, true), buf2), n0 ≤ NODE_HEADER_SIZE + # buf + # buf1, ∀ buf3, m, x, lax, n. # buf3 < #((buf2 + buf + validtrailer) + buf1) → abs-nodes(buf3, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf3 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf3, 0, n), m, x0, lax0, true)) ⊦ buf2 + buf + validtrailer = mkbuf(0), abs-failed(buf2 + subarray(buf + validtrailer, 0, n0))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: abs-node name: abs-failed seq: ⊦ abs-failed(buf) ↔ # buf ≥ NODE_HEADER_SIZE ∧ is-aligned(# buf, NODE_HEADER_SIZE) ∧ (∃ buf0, buf1. buf = buf0 + buf1 ∧ # buf0 = NODE_HEADER_SIZE ∧ ( is-garbage-header(buf0) ∨ (∃ ndhd. is-encoded(ndhd, buf0) ∧ # buf1 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE)))) subst: [buf] → [buf2 + subarray(buf + validtrailer, 0, n0)] flags: <all paths>

Additional information

Used terms: buf2 + subarray(buf + validtrailer, 0, n0)