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Proof step 87 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, n < (# buf2 + # buf) + # buf1, n < # buf2, abs-node(buf1, a), abs-nodes(subarray(buf2, 0, n), m, (a0 ' + x0) + a ', (@(m0, m1) ' + lax0) + @(m + # buf2 + # buf, # buf1) ', boolvar), abs-nodes(buf, m + # buf2, a0 ' + x0, @(m0, m1) ' + lax0, false), abs-padding(buf2), is-aligned(m, NODE_HEADER_SIZE), is-aligned(n, NODE_HEADER_SIZE), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #(buf2 + buf) → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf3 + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf3 + buf1, 0, n), m, x + a ', lax + @(m + # buf3, # buf1) ', boolvar) ∧ abs-nodes(buf3, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf3 + # buf1 ⊦ buf2 = mkbuf(0), n = (# buf2 + # buf) + # buf1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 88:
⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE))
Proof step 89:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, n < # buf2, n < (# buf2 + # buf) + # buf1, abs-node(buf1, a), abs-nodes(buf, m + # buf2, a0 ' + x0, @(m0, m1) ' + lax0, false), abs-nodes(subarray(buf2, 0, n), m, (a0 ' + x0) + a ', (@(m0, m1) ' + lax0) + @(m + # buf2 + # buf, # buf1) ', boolvar), is-aligned(n, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), ∃ buf0, buf1. buf2 = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #(buf2 + buf) → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf3 + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf3 + buf1, 0, n), m, x + a ', lax + @(m + # buf3, # buf1) ', boolvar) ∧ abs-nodes(buf3, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf3 + # buf1 ⊦ buf2 = mkbuf(0), n = (# buf2 + # buf) + # buf1

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