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Theorem inv-gc

ri-inj(ri), ri-inj(fi), log-cons(log, fs), ro.inodes?, fo.inodes?, ri-cons(ri, fs) ⊦ ⟪aubifs_core_journal_gc#(fi, ro, fo; ri, fs, log; boolvar)⟫ (ri-inj(ri) ∧ log-cons(log, fs) ∧ ri-cons(ri, fs))

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: 6
Proof steps: 28
Used lemmas: gc-drop, gc-step, gc,
Used spec theorems:
- aubifs-inv/log-cons-drop
- aubifs-inv/ri-cons-drop
- store+set/node-store/Diff-ext
- aubifs-base/at-write-other
- set-basic/node-store/Extension
Used simplifier rules:
- aubifs-inv/ri-cons-inj
- aubifs-inv/ri-cons-variant1-01
- aubifs-inv/log-cons-app
- set-union/node-store/unc
- set-union/node-store/una
- set-union/node-store/intu-empty
- aubifs-inv/log-cons-copy-new
- aubifs-inv/ri-cons-copy-new
- aubifs-inv/log-cons-variant1-01
- store+set/node-store/Diff-get
- aubifs-inv/log-adr-in
- aubifs-base/in-write
- set-basic/node-store/size-zero-01
- set-basic/node-store/ne-01
- aubifs-inv/log-node-cons
- aubifs-base/new-in-fs
- aubifs-base/index-lookup-length
- aubifs-base/read-length
- set-basic/node-store/In-empty
- set-union/node-store/Intersect
- list+set/address-list-set/toSet-ext
- list/address-list-set/a
- list+set/address-list-set/toSet-app
- list-dup/key-list-set/e-01
- list-dup/address-list-set/e-01
- aubifs-base/new-base
- list+set/key-list-set/toSet-empty
- set-basic/node-index/sub-e
- list-data/key-list-set/size-01
- list-data/address-list-set/size-01
- list+set/address-list-set/toSet-empty
- set-union/node-store/int-e
- set-union/node-store/int-a
- set-union/node-store/int-c