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Proof step 34 from proof abs-nodes-notrailer-h (previous step)

# buf = nd.alignedsize, # buf2 = NODE_HEADER_SIZE, abs-nodes(buf0, 2 * NODE_HEADER_SIZE + n + nd.alignedsize, x0, lax0, weak), is-encoded(nodeheader(node-size-headerless(nd), false), buf2), is-encoded(nd, subarray(buf, 0, node-size-headerless(nd))), align↑(node-size-headerless(nd), 2 * NODE_HEADER_SIZE) ≤ nd.alignedsize + # buf0 ⊦ subarray((buf2 + buf + validtrailer) + buf0, NODE_HEADER_SIZE + align↑(node-size-headerless(nd), 2 * NODE_HEADER_SIZE), NODE_HEADER_SIZE) = validtrailer

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-splice, inst: buffer name: subarray-elim-right seq: n + m ≤ # buf ⊦ subarray(buf + buf0, n, m) = subarray(buf, n, m) subst: [m, n, buf0, buf] → [NODE_HEADER_SIZE, NODE_HEADER_SIZE + align↑(node-size-headerless(nd), 2 * NODE_HEADER_SIZE), buf0, buf2 + buf + validtrailer] flags: <all paths>

Additional information

Used terms: NODE_HEADER_SIZE, NODE_HEADER_SIZE + align↑(node-size-headerless(nd), 2 * NODE_HEADER_SIZE), buf0, buf2 + buf + validtrailer