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Proof step 3 from proof inv-sync (previous step)

# lpt = # avol, # lpt0 = # avol, keyset(gch) = gc-heap(lpt, log0), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, freelist), log-group-block(log0, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log0), bleb.isbuf? ∧ ¬ isbuf → bleb.leb < # avol ∧ lpt[bleb.leb].size ≤ LEB_SIZE ∧ avol[bleb.leb].mapped? ∧ lpt[bleb.leb].size = # avol[bleb.leb].data ∧ lpt[bleb.leb].flags ≠ LP_FREE ∧ is-aligned(lpt[bleb.leb].size, 2 * NODE_HEADER_SIZE) ⊦ ⟪persistence_sync#(LEB_SIZE, adr, m0, log0, lpt0, ns, bleb; lpt, avol, isbuf; err)⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log0) ∧ bufs-log-only(bleb, log0, lpt) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ buf-ro-rw-mode(isbuf, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# lpt0 = # avol, # lpt = # avol, lpt[bleb.leb] = mklp(m, m1, lpf, m2), keyset(gch) = gc-heap(lpt, log0), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, freelist), log-group-block(log0, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log0), bleb.isbuf? ∧ ¬ isbuf → bleb.leb < # avol ∧ m1 ≤ LEB_SIZE ∧ avol[bleb.leb].mapped? ∧ m1 = # avol[bleb.leb].data ∧ lpf ≠ LP_FREE ∧ is-aligned(m1, 2 * NODE_HEADER_SIZE) ⊦ ⟪persistence_sync#(LEB_SIZE, adr, m0, log0, lpt0, ns, bleb; lpt, avol, isbuf; err)⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log0) ∧ bufs-log-only(bleb, log0, lpt) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ buf-ro-rw-mode(isbuf, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt[bleb.leb], m0, m1, lpf, m2]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt[bleb.leb], m0, m1, lpf, m2