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Theorem keys-put-notin

⊦ ¬ sk ∈ fis → fis[sk, val] .keys = fis .keys + sk

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: getkeys-one, getkeys-app,
Used spec theorems:
- Used simplifier rules:
  - list/storekeys/a
  - list/storekeys/app-01
  - list/storekeys/Last
  - list/fieldinit-assoclista/a
  - pair/fieldinit/sel-02
  - assoclist/fieldinit/insnotin