| # lpt0 = # avol, # lpt2 = # avol, lpt2[n] = mklp(m3, m1, LP_GROUP_NODES, m2), keyset(gch0) = gc-heap(lpt2, log0) -- key-index(m3, n), keyset(gch) = gc-heap(lpt2, log0), # gc-heap(lpt2, log0) ≠ 0, buffered(n) ≠ bleb, gc-heap(lpt2, log0) ≠ ∅, n < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch0, lpt), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, bleb, lpt2, avol), bufs-log-only(bleb, log0, lpt2), freelist-cons(lpt2, freelist), id-idx(lpt2[n, mklp(0, 0, LP_FREE, m2)], lpt), log-group-block(log0, lpt2), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt0, log0), synced(avol), key-index(m3, n) ∈ gc-heap(lpt2, log0), ¬ dups(log0), ¬ n ∈ log0 ⊦ ⟪err := ESUCCESS⟫ ( freelist-cons(lpt2[n, mklp(0, 0, LP_FREE, m2)], freelist + n ') ∧ keyset(gch0) = gc-heap(lpt2[n, mklp(0, 0, LP_FREE, m2)], log0) ∧ bufs-log-only(bleb, log0, lpt2[n, mklp(0, 0, LP_FREE, m2)]) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ lpt-ram-flash(lpt, lpt0, log0)) |
# lpt2 = # avol, # lpt0 = # avol, lpt2[n] = mklp(m3, m1, LP_GROUP_NODES, m2), keyset(gch) = gc-heap(lpt2, log0), keyset(gch0) = gc-heap(lpt2, log0) -- key-index(m3, n), n < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt2), bin-heap-inv(gch0, lpt), buf-ro-rw-mode(false, bleb, lpt2, avol), bufs-log-only(bleb, log0, lpt2), freelist-cons(lpt2, freelist), id-idx(lpt2[n, mklp(0, 0, LP_FREE, m2)], lpt), log-group-block(log0, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, log0), synced(avol), key-index(m3, n) ∈ gc-heap(lpt2, log0) ⊦ # gc-heap(lpt2, log0) = 0, buffered(n) = bleb, gc-heap(lpt2, log0) = ∅, dups(log0), n ∈ log0, freelist-cons(lpt2[n, mklp(0, 0, LP_FREE, m2)], freelist + n ') ∧ keyset(gch0) = gc-heap(lpt2[n, mklp(0, 0, LP_FREE, m2)], log0) ∧ bufs-log-only(bleb, log0, lpt2[n, mklp(0, 0, LP_FREE, m2)]) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ lpt-ram-flash(lpt, lpt0, log0)