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Proof step 4 from proof inv-add-ind (previous step)

# 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), ¬ isbuf → bleb.isbuf? ∧ bleb.leb < # avol ∧ lpf = LP_INDEX_NODES ∧ avol[bleb.leb].mapped? ∧ (m1 + 2 * NODE_HEADER_SIZE + ind.alignedsize ≤ LEB_SIZE → m1 = # avol[bleb.leb].data) ⊦ ⟪persistence_add_ind#(ind, LEB_SIZE, adr, m0, log0, lpt0, ns, bleb; adr0, 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 nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 5:
# lpt = # avol, # lpt0 = # avol, isbuf0 ↔ isbuf, lpt[bleb.leb] = mklp(m, m3, lpf, m2), adr = adr1, adr0 = adr2, bleb0 = bleb, keyset(gch) = gc-heap(lpt, log0), log = log0, m1 = LEB_SIZE, 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), ¬ isbuf → bleb.isbuf? ∧ bleb.leb < # avol ∧ lpf = LP_INDEX_NODES ∧ avol[bleb.leb].mapped? ∧ (m3 + 2 * NODE_HEADER_SIZE + ind.alignedsize ≤ LEB_SIZE → m3 = # avol[bleb.leb].data) ⊦ ⟪if ¬ isbuf0 → bleb0.isbuf? ∧ bleb0.leb < # lpt ∧ lpt[bleb0.leb].flags = LP_INDEX_NODES ∧ avol[bleb0.leb].mapped? ∧ (lpt[bleb0.leb].size + ind.flashsize ≤ LEB_SIZE → lpt[bleb0.leb].size = # avol[bleb0.leb].data) then let isbuf = ? in {awbuf_is_readonly#(adr0, m0, log, avol, lpt0, ns, bleb0, isbuf0; ; isbuf); if isbuf then err := EROFS else let buf = mkbuf(ind.flashsize), m = ?, bleb = ? in {awbuf_get_buf#(adr0, m0, log, avol, lpt0, ns, bleb0, isbuf0; ; bleb); encode_index_node#(ind, 0; m, buf; err); if err = ESUCCESS then if ¬ lpt[bleb.leb].size + m ≤ m1 then {debug#("persistence: trying to write beyond LEB size"); awbuf_enter_readonly#(adr0, m0, log, avol, lpt0, ns, bleb0; ; isbuf0); err := ENOSPC} else {awbuf_write_buf#(m, buf, adr0, m0, log, lpt0, ns, bleb0; avol, isbuf0; err); if err = ESUCCESS then {adr := @(bleb.leb, lpt[bleb.leb].size, m); lpt[bleb.leb].size := lpt[bleb.leb].size + m} else lpt[bleb.leb].size := m1} else {debug#("persistence: could not encode index node"); awbuf_enter_readonly#(adr0, m0, log, avol, lpt0, ns, bleb0; ; isbuf0)}}} else abort⟫ ( 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(isbuf0, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Rule argument

pos: right 1

Additional information

Used simplifier rules: add-ind: ⊦ ;