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Proof step 19 from proof abs-node-subarray-failed (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
# buf0 = NODE_HEADER_SIZE, # buf1 = nd.alignedsize, n0 = n1 + 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), nd.alignedsize ≤ n0 ⊦ ∃ buf2, buf3. buf0 + buf1 + subarray(validtrailer, 0, n1) = buf2 + buf3 ∧ # buf2 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf2) ∨ (∃ ndhd. is-encoded(ndhd, buf2) ∧ # buf3 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE)))

Rule argument

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

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n0, nd.alignedsize, n