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Proof step 187 from proof inv-read-gblock-nodes (previous step)

# gndx0 = # lax2, # gndx3 = # lax1, # lpt0 = # avol, # lpt = # avol, LEB_SIZE = n0 + # buf0 + # buf, avol[m5] = mapped(buf0 + buf), m5 < # avol, abs-nodes(buf0, gndx3, lax1, false), abs-nodes(buf, # buf0, gndx0, lax2, true), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), is-aligned(# buf, NODE_HEADER_SIZE), is-encoded(nodeheader(m, true), subarray((buf0 + buf) + mkempbuf(n0), # buf0, NODE_HEADER_SIZE)), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), # buf0 + 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ LEB_SIZE, # buf0 + # buf ≤ LEB_SIZE, # buf0 + NODE_HEADER_SIZE ≤ LEB_SIZE ⊦ # buf + n0 = 0, isempty((buf0 + buf) + mkempbuf(n0), # buf0, NODE_HEADER_SIZE), ∃ gndx5, lax4, buf1, buf2. buf0 + buf = buf1 + buf2 ∧ # buf1 = # buf0 + 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ∧ abs-nodes(buf1, gndx3, lax1, false) ∧ abs-nodes(buf2, # buf1, gndx5, lax4, true)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-splice, inst: buffer name: subarray-elim-right seq: n + m ≤ # buf ⊦ subarray(buf + buf0, n, m) = subarray(buf, n, m) subst: [m, n, buf0, buf] → [NODE_HEADER_SIZE, # buf0, mkempbuf(n0), buf0 + buf] flags: <all paths>

Additional information

Used terms: NODE_HEADER_SIZE, # buf0, mkempbuf(n0), buf0 + buf