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Theorem inv-get-gc-block

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), n = n0 ⊦ ⟪persistence_get_gc_block#(gch; n0; err)⟫ ((err = ENOSPC ∨ err = ESUCCESS) ∧ (err ≠ ESUCCESS → n0 = n) ∧ (err = ESUCCESS → n0 < # lpt ∧ lpt[n0].flags = LP_GROUP_NODES ∧ ¬ n0 ∈ log))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 28
Used lemmas: get-gc-block,
Used spec theorems:
- persistence-base/gc-heap-in
- bin-min-heap-prepost/gc-heap-rename-gc-heap-base/key-set-in
- bin-min-heap-prepost/gc-heap-rename-gc-heap-base/bin-heap-inv-def
Used simplifier rules:
- bin-min-heap/gc-heap-base/elim
- error/disj-35
- lprops/elim
- key-index/gc-heap-rename-gc-heap-base/elim
- elem-index/gc-heap-base/sel-01-M03
- elem-index/gc-heap-base/sel-01-M01
- nat-basic/zero
- bin-min-heap/gc-heap-base/sel-01
- bin-min-heap/gc-heap-base/sel-02
- bin-min-heap-inv/gc-heap-rename-gc-heap-base/2exp-size-0