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Proof step 7 from proof abs-nodes-valid-node (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf, weak ∧ abs-failed(buf) ∨ buf = buf0 + buf1 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, [], [], weak) ⊦ buf = mkbuf(0), ∃ buf0, buf1. buf = buf0 + buf1 ∧ boolvar0 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, [], [], weak)

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ NODE_HEADER_SIZE ≠ 0; (s)% ⊦ 2 * m = 0 ↔ m = 0; (s)% ⊦ m + n = 0 ↔ m = 0 ∧ n = 0; (ws)% ⊦ m ≤ 0 ↔ m = 0; (s)% ⊦ # mkbuf(n) = n; (s)% ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)