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Theorem inv-allocate-gnd

lpt-free-unref(lpt), lpt-free-unref(lpt0), freelist-cons(lpt, freelist), log = log0, bin-heap-inv(gch, lpt), keyset(gch) = gc-heap(lpt, log), bufs-log-only(bleb, log, lpt), # lpt = # avol, ¬ dups(log), log-group-block(log, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log), awbuf-inv(avol, bleb), # lpt0 = # avol, synced(avol) ⊦ ⟪persistence_allocate_gnd#(adr, m, lpt0, ns, isbuf; log, lpt, freelist, log0, avol, bleb; err)⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ log = log0 ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log) ∧ bufs-log-only(bleb, log, lpt) ∧ # lpt = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt) ∧ buf-ro-rw-mode(isbuf, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 117
Used lemmas: elim-lp-upd-size, allocate-leb, allocate-gnd,
Used spec theorems:
Used simplifier rules:
- error/disj-120
- persistence-base/buf-ro-rw-mode-switch
- error/disj-35
- list-data/nat-list-set/elim-list-c
- list/nat-list-set/c
- lprops/elim
- persistence-base/free-unref-at
- persistence-base/bufs-log-only-notfree
- list/nat-list-set/app-02
- list/nat-list-set/e
- nat-basic/f
- awbuf-inv/synced-map
- aleb/test-02
- aleb/sel
- array/avolume/Put-same
- list/nat-list-set/Last
- awbuf-inv/inv-buf-in-vol
- persistence-base/lpt-ram-flash-allocate
- persistence-base/lpt-ram-flash-write-allocate
- array/buffer/Size-mkarray
- persistence-base/buf-ro-rw-mode-write
- list-dup/nat-list-set/f
- persistence-base/gc-heap-allocate
- persistence-base/freelist-cons-alloc
- lprops/upd-06
- error-class/esuccess
- list-last/nat-list-set/last-def
- list/nat-list-set/e-02
- bufleb/sel
- bufleb/disj
- list/nat-list-set/in-17
- list/nat-list-set/in-append
- array/lp-array/Put-other
- lprops/inj
- array/lp-array/cgetput
- nat/fle-01
- nat/fle
- oelem/nat-set/irreflexivity
- list/nat-list-set/e-01
- list/nat-list-set/a
- array/lp-array/Size-put
- array/lp-array/Put-same
- lprops/upd-04
- nat/lels
- nat/ls-le-simp
- array/lp-array/cputput
- persistence-base/lpt-free-unref-write
- elem-index/gc-heap-base/sel-01-M03
- elem-index/gc-heap-base/sel-01-M01
- list/nat-list-set/c-07
- lprops/disj-01
- persistence-base/bin-heap-inv-write-other
- persistence-base/gc-heap-write-other
- elem-index/gc-heap-base/sel-02
- persistence-base/bufs-log-only-write-lpt-same-flags
- persistence-base/log-group-block-write-other
- persistence-base/buf-ro-rw-mode-write-lpt-other
- persistence-base/lpt-leb-size-write
- elem-index/gc-heap-base/sel-01-M02
- nat/lez
- persistence-base/lpt-ram-flash-write-non-group
- nat-basic/lf-01
- persistence-base/freelist-cons-first-free
- persistence-base/freelist-cons-write-lpt-other
- array/avolume/Size-put
- awbuf-inv/inv-unmap
- error-class/not-esuccess
- persistence-base/buf-ro-rw-mode-write-vol-other