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Theorem refine-create-volume

¬ v ∈ avols, abs(avols, apebs, vols, q), ebm-cons(avols), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum), vtblpnum0 = LEB_SIZE, vtblpnum1 = EB_PAGE_SIZE, ubi-io-inv(apebs) ⊦ ⟪ubi_create_volume#(v, n, vtblpnum0, vtblpnum1; vols, wlar, q, bflipset, vtblpnum, sqnum, apebs; err)⟫ ⟨ebm_create_volume#(v, n; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)

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: 14
Proof steps: 38
Used lemmas:
Used spec theorems:
- ubi-asm/inv-create-volume
- ubi-abs/abs-def
- store/volumes/In-insert
- store/abstract-volumes/In-insert
- store/volumes/At-other
- set-union/lebrefset/subdef
Used simplifier rules:
- set-union/lebrefset/One
- ubi-base/ubi-cons
- store/volumes/In-insert
- ubi-base/mapped-pebs-add-empty-vol
- apeb/elim
- store/abstract-volumes/in-neq
- array-copy/abstract-volume/at-fill-mkarray
- array-copy/ebatbl/at-fill-mkarray
- array/abstract-volume/Size-mkarray
- array-copy/abstract-volume/size-fill
- store/abstract-volumes/At-same
- array/ebatbl/Size-mkarray
- array-copy/ebatbl/size-fill
- store/volumes/At-same
- set-basic/lebrefset/in-04
- erasequeue/in-vl-in-lebrefs
- lebref/disj
- lebref/inj
- nat-basic/lf-01
- nat-basic/f
- store/abstract-volumes/At-in-out
- ubi-abs/abs-avols-in
- ubi-abs/abs-vols-in
- leb/test-02
- apeb/sel-07
- apeb/sel-06
- error-class/not-esuccess
- ubi-abs/abs-idset-fwd
- ubi-abs/abs-lebrefs-subset