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Proof step 19 from proof abs-nodes-nospace-h (previous step)

lax.head = @(m0, m1), # buf1 + # buf0 < NODE_HEADER_SIZE, abs-padding(buf1) ∧ abs-nodes(buf0, m + # buf1, nd ' + x0, lax, boolvar) ∨ lax ≠ [] ∧ m0 = m ∧ m1 = # buf1 ∧ (∃ buf0, buf2. buf1 = buf0 + buf2 + validtrailer ∧ is-encoded(nodeheader(node-size-headerless(nd), false), buf0) ∧ is-encoded(nd, subarray(buf2, 0, node-size-headerless(nd))) ∧ # buf2 = nd.alignedsize) ∧ abs-nodes(buf0, m + # buf1, x0, lax.tail, boolvar) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
lax.head = @(m0, m1), # buf1 + # buf0 < NODE_HEADER_SIZE, abs-padding(buf1) ∧ abs-nodes(buf0, m + # buf1, nd ' + x0, lax, boolvar) ∨ lax ≠ [] ∧ m0 = m ∧ m1 = # buf + # buf2 + NODE_HEADER_SIZE ∧ buf1 = buf + buf2 + validtrailer ∧ is-encoded(nodeheader(node-size-headerless(nd), false), buf) ∧ is-encoded(nd, buf2) ∧ # buf2 = nd.alignedsize ∧ abs-nodes(buf0, m + # buf + # buf2 + NODE_HEADER_SIZE, x0, lax.tail, boolvar) ⊦

Rule argument

Additional information

Used simplifier rules: # buf = n ⊦ subarray(buf, 0, n) = buf; (s)%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ ¬ m + n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # validtrailer = NODE_HEADER_SIZE; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)