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Proof step 14 from proof abs-node-abs-node (previous step)

# buf = NODE_HEADER_SIZE, # buf6 = nd0.alignedsize, # buf4 = nd1.alignedsize, buf6 + validtrailer + buf2 = buf4 + validtrailer + buf3, node-size-headerless(nd1) = node-size-headerless(nd0), is-encoded(nd1, subarray(buf4, 0, node-size-headerless(nd0))), is-encoded(nodeheader(node-size-headerless(nd0), false), buf), is-encoded(nd0, subarray(buf6, 0, node-size-headerless(nd0))) ⊦ buf6 = buf4 ∧ nd0 = nd1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-splice, inst: buffer name: append-inj seq: ⊦ # buf = # buf0 → (buf + buf1 = buf0 + buf2 ↔ buf = buf0 ∧ buf1 = buf2) subst: [buf2, buf0, buf1, buf] → [validtrailer + buf3, buf4, validtrailer + buf2, buf6] flags: <all paths>

Additional information

Used simplifier rules: ⊦ buf + buf0 = buf + buf1 ↔ buf0 = buf1; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ is-encoded(nd, buf) → (is-encoded(nd0, buf) ↔ nd = nd0); (s) Used terms: validtrailer + buf3, buf4, validtrailer + buf2, buf6