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Theorem to-vtbl-at

⊦ v ∈ vols → to-vtbl(vols)[v] = # vols[v]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: to-vtbl-update, to-vtbl-update-vol,
Used by units in proved state: ubi-asm, ubi-crash-recovery-base, ubi-base,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 11
Used lemmas: to-vtbl-rec, to-vtbl-base,
Used spec theorems:
- store/volumes/Extension
- store/volumes/exin
Used simplifier rules:
- store/volumes/notmemlookup
- store/volumes/In-empty
- store/volumes/notin-del-notin
- store/vtbl/At-same
- store/volumes/At-same
- store/volumes/in-neq
- store/volumes/At-other
- store/vtbl/At-other
- store/volumes/Size-insert
- nat-basic/s-04
- nat-basic/ref
- nat-basic/a
- nat-basic/c