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Theorem referenced-adrs-lookup-keys-in-dom

⊦ ri-cons(ri, fs) → fs[referenced-adrs(ax, ri)].keys.toSet ⊆ dom ri

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: gjournal-refine, gjournal-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: keys-one, keys-app, referenced-adrs-rec, keys-base-01, referenced-adrs-base,
Used spec theorems:
- store+set/node-index/Data-in
Used simplifier rules:
- list/key-list-set/a
- list+set/key-list-set/toSet-app
- list/node-list/a
- aubifs-base/read-app
- list/address-list-set/a
- list/address-list-set/c
- list+set/key-list-set/toSet-ext
- set-basic/node-index/sub-ntrans-01
- set-union/node-index/unc
- set-union/node-index/una
- set-union/node-index/unsub-union-01
- aubifs-base/read-base
- list+set/key-list-set/toSet-empty
- set-basic/node-index/sub-e
- aubifs-base/toSet-subseteq-domri-notin
- store+set/node-index/Dom
- set-basic/node-index/sub-one-02
- list+set/key-list-set/toSet-one
- aubifs-base/read-one
- aubifs-inv/ri-cons-key