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Proof step 10 from proof inv-allocate-ind (previous step)

# lpt0 = # avol, # lpt = # avol, keyset(gch) = gc-heap(lpt, log0), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf1, 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), synced(avol) ⊦ ⟪awbuf_is_readonly#(adr, m, log0, avol, lpt0, ns, bleb, isbuf1; ; isbuf); if isbuf then err := EROFS else if freelist = [] then err := ENOSPC else {n := freelist.head; awbuf_remap#(n, adr, m, log0, lpt0, ns, bleb, isbuf1; avol; err); if err = ESUCCESS then {freelist := freelist.tail; lpt[n] := mklp(lpt[n].ref-size, 0, lpt[n].flags, lpt[n].gcheapidx); lpt[n].ref-size := 0}}; if err = ESUCCESS then {awbuf_move_buf#(n, 0, adr, m, log0, avol, lpt0, ns, isbuf1; bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist else lpt[n].flags := LP_INDEX_NODES}⟫ ( 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(isbuf1, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 11:
# lpt1 = # avol, # lpt0 = # avol, isbuf0 ↔ isbuf1, keyset(gch) = gc-heap(lpt1, log0), log = log0, lpt = lpt0, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(isbuf1, bleb, lpt1, avol), bufs-log-only(bleb, log0, lpt1), freelist-cons(lpt1, freelist), log-group-block(log0, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log0), synced(avol) ⊦ ⟪isbuf := isbuf0; if isbuf then err := EROFS else if freelist = [] then err := ENOSPC else {n := freelist.head; awbuf_remap#(n, adr, m, log0, lpt0, ns, bleb, isbuf1; avol; err); if err = ESUCCESS then {freelist := freelist.tail; lpt1[n] := mklp(lpt1[n].ref-size, 0, lpt1[n].flags, lpt1[n].gcheapidx); lpt1[n].ref-size := 0}}; if err = ESUCCESS then {awbuf_move_buf#(n, 0, adr, m, log0, avol, lpt0, ns, isbuf1; bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist else lpt1[n].flags := LP_INDEX_NODES}⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb, log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Rule argument

pos: right 1

Additional information

Used simplifier rules: awbuf_is_readonly# (WROOTADR, WMAXINO, WLOG, WVOL, WLPT, WORPHANS, WBUFLEB, AROFS ; ; AROFS0 ) {AROFS0 := AROFS};