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Proof step 22 from proof abs-padding-abs-nodes-h (previous step)

# buf1 = NODE_HEADER_SIZE, buf1 + buf0 + validtrailer = buf2 + buf, abs-nodes(buf, m + # buf2, nd ' + x0, @(m0, m1) ' + lax0, weak), abs-padding(buf2), is-aligned(# buf0, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(# buf0, true), buf1) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE))
Proof step 24:
# buf1 = NODE_HEADER_SIZE, buf1 + buf0 + validtrailer = buf2 + buf, abs-nodes(buf, m + # buf2, nd ' + x0, @(m0, m1) ' + lax0, weak), is-aligned(# buf0, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(# buf0, true), buf1), ∃ buf0, buf1. buf2 = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE) ⊦

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