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Proof step 20 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 = # 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) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE))
Proof step 22:
lax.head = @(m0, m1), # buf1 + # buf0 < NODE_HEADER_SIZE, (∃ buf0, buf2. buf1 = buf0 + buf2 + validtrailer ∧ is-encoded(nodeheader(# buf2, true), buf0) ∧ is-aligned(# buf2, 2 * NODE_HEADER_SIZE)) ∧ 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

spec: abs-node name: abs-padding seq: ⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE)) subst: [buf] → [buf1] flags: <all paths>

Additional information

Used terms: buf1