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Theorem keys-remove-leb

⊦ ax.toSet = range ri | n ∧ ri-cons(ri, fs) → ¬ @(n, m0, m1) ∈ ri \ keys(fs, ax).toSet

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 15
Used lemmas: toSet-diff-get,
Used spec theorems:
- store+set/node-index/Data-in
- gjournal-abs/in-keys-elim
- store/node-index/exin
- set-basic/node-store/Extension
- aubifs-inv/ri-cons
- aubifs-inv/key-cons
Used simplifier rules:
- list+set/key-list-set/toSet-ext
- store+set/node-index/Diff-ext
- ablock-store-refsize-cons/group-store/restrict-add
- gjournal-base/range-write-notin
- set-basic/node-store/In-insert
- list+set/address-list-set/toSet-ext
- store/node-index/At-same
- store/node-index/insin