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Proof step 15 from proof abs-nodes-nospace-header-h (previous step)

# buf < 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)), NODE_HEADER_SIZE ≤ # buf, ∃ buf0, buf1. buf = buf0 + buf1 ∧ ( abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, nd ' + x0, lax, weak) ∨ lax ≠ [] ∧ lax.head.off = n ∧ lax.head.size = # buf0 ∧ abs-node(buf0, nd) ∧ abs-nodes(buf1, n + # buf0, x0, lax.tail, weak)) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
# buf1 + # buf0 < 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(m, boolvar0), subarray(buf1 + buf0, 0, NODE_HEADER_SIZE)), NODE_HEADER_SIZE ≤ # buf1 + # buf0, abs-padding(buf1) ∧ abs-nodes(buf0, n + # buf1, nd ' + x0, lax, weak) ∨ lax ≠ [] ∧ lax.head.off = n ∧ lax.head.size = # buf1 ∧ abs-node(buf1, nd) ∧ abs-nodes(buf0, lax.head.off + # buf1, x0, lax.tail, weak) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ # subarray(buf, m, n) = n; (s)%lfw-is-encoded-nodeheader-size: ⊦ is-encoded(ndhd, buf) → # buf = NODE_HEADER_SIZE; (forward) from specification abs-node%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)