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Proof step 9 from proof abs-nodes-notrailer-h (previous step)

buf = buf0 + buf1, abs-nodes(buf1, n + # buf0, [], [], weak), abs-padding(buf0), is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf ⊦ buf = mkbuf(0), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), abs-failed(buf) ∧ weak

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
abs-nodes(buf1, n + # buf0, [], [], weak), abs-padding(buf0), is-encoded(nodeheader(m, boolvar0), subarray(buf0, 0, NODE_HEADER_SIZE)), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf0 + # buf1 ⊦ buf0 + buf1 = mkbuf(0), range=(buf0 + buf1, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE)

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% ⊦ abs-padding(buf0) → ¬ abs-failed(buf0 + buf1); (s)%n + m ≤ # buf ⊦ subarray(buf + buf0, n, m) = subarray(buf, n, m); (s)% ⊦ # buf < NODE_HEADER_SIZE → ¬ abs-padding(buf); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)