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Theorem dups-fis-keys

⊦ dups(fis[sk, val] .keys) ↔ dups(fis .keys)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: update-ex-nodups,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: keys-in-01, getkeys-one, getkeys-app, keys-put-in,
Used spec theorems:
- Used simplifier rules:
  - list-dup/storekeys/app-05
  - list/storekeys/a
  - list-dup/storekeys/f
  - list/fieldinit-assoclista/a
  - pair/fieldinit/sel-02
  - assoclist/fieldinit/insnotin