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Proof step 35 from proof abs-padding-abs-nodes-h (previous step)

# buf3 = nd.alignedsize, # buf1 = NODE_HEADER_SIZE, # buf4 = NODE_HEADER_SIZE, buf1 + buf0 + validtrailer = (buf4 + buf3 + validtrailer) + buf, abs-nodes(buf, 2 * NODE_HEADER_SIZE + m + nd.alignedsize, x0, lax0, weak), is-aligned(# buf0, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(node-size-headerless(nd), false), buf4), is-encoded(nd, subarray(buf3, 0, node-size-headerless(nd))), is-encoded(nodeheader(# buf0, true), buf1) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 36:
⊦ (buf + buf0) + buf1 = buf + buf0 + buf1
Proof step 37:
# buf4 = NODE_HEADER_SIZE, # buf1 = NODE_HEADER_SIZE, # buf3 = nd.alignedsize, buf1 + buf0 + validtrailer = buf4 + (buf3 + validtrailer) + buf, abs-nodes(buf, 2 * NODE_HEADER_SIZE + m + nd.alignedsize, x0, lax0, weak), is-aligned(# buf0, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(# buf0, true), buf1), is-encoded(nd, subarray(buf3, 0, node-size-headerless(nd))), is-encoded(nodeheader(node-size-headerless(nd), false), buf4) ⊦

Rule argument

spec: array-splice, inst: buffer name: append-a seq: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1 subst: [buf1, buf0, buf] → [buf, buf3 + validtrailer, buf4] flags: <all paths>

Additional information

Used terms: buf, buf3 + validtrailer, buf4