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Proof step 11 from proof abs-node-subarray-failed (previous step)

# buf0 = NODE_HEADER_SIZE, # buf1 = nd.alignedsize, n0 < NODE_HEADER_SIZE + nd.alignedsize, is-aligned(n0, NODE_HEADER_SIZE), is-encoded(nd, subarray(buf1, 0, node-size-headerless(nd))), is-encoded(nodeheader(node-size-headerless(nd), false), buf0) ⊦ ∃ buf2, buf3. buf0 + subarray(buf1 + validtrailer, 0, n0) = buf2 + buf3 ∧ # buf2 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf2) ∨ (∃ ndhd. is-encoded(ndhd, buf2) ∧ # buf3 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-splice, inst: buffer name: subarray-append-shift-right seq: ⊦ # buf ≤ m ∧ m ≤ # buf + # buf0 → subarray(buf + buf0, 0, m) = buf + subarray(buf0, 0, m - # buf) subst: [m, buf0, buf] → [n0, validtrailer, buf1] flags: <all paths>

Additional information

Used terms: n0, validtrailer, buf1