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Proof step 2 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 ⊦ abs-nodes(buf, n, x, lax, weak) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ ( boolvar0 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, x, lax, weak) ∨ # buf0 = x.head.flashsize ∧ x ≠ [] ∧ lax ≠ [] ∧ lax.head = @(n, # buf0) ∧ ¬ boolvar0 ∧ abs-node(buf0, x.head) ∧ abs-nodes(buf1, n + # buf0, x.tail, lax.tail, weak)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
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 ⊦ abs-nodes(buf, n, x, lax, weak) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ ( boolvar0 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, x, lax, weak) ∨ # buf0 = 2 * NODE_HEADER_SIZE + x.head.alignedsize ∧ x ≠ [] ∧ lax ≠ [] ∧ lax.head = @(n, # buf0) ∧ ¬ boolvar0 ∧ abs-node(buf0, x.head) ∧ abs-nodes(buf1, n + # buf0, x.tail, 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% ⊦ nd.flashsize = 2 * NODE_HEADER_SIZE + nd.alignedsize; (s)