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Proof step 19 from proof abs-nodes-one-abs-node (previous step)

# buf0 = a.alignedsize, # buf1 = NODE_HEADER_SIZE, buf1 + buf0 + validtrailer = buf2 + buf, abs-nodes(buf, m + # buf2, a ', @(m0, m1) ', false), abs-padding(buf2), is-encoded(nodeheader(node-size-headerless(a), false), buf1), is-encoded(a, subarray(buf0, 0, node-size-headerless(a))) ⊦ m0 = m ∧ m1 = 2 * NODE_HEADER_SIZE + a.alignedsize

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE))
Proof step 21:
# buf1 = NODE_HEADER_SIZE, # buf0 = a.alignedsize, buf1 + buf0 + validtrailer = buf2 + buf, abs-nodes(buf, m + # buf2, a ', @(m0, m1) ', false), is-encoded(a, subarray(buf0, 0, node-size-headerless(a))), is-encoded(nodeheader(node-size-headerless(a), false), buf1), ∃ buf0, buf1. buf2 = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE) ⊦ m0 = m ∧ m1 = 2 * NODE_HEADER_SIZE + a.alignedsize

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] → [buf2] flags: <all paths>

Additional information

Used terms: buf2