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Theorem okfieldinits-index

⊦ okfieldinits(class, fis) ∧ sk ∈ fis .keys → ¬ is_indexkey(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: 2
Proof steps: 12
Used lemmas: okfieldinits-rec,
Used spec theorems:
- Used simplifier rules:
  - fieldspec/elim
  - storekey/test-05
  - storekey/elim-03
  - storekey/test-02
  - pair/fieldinit/elim
  - storekey/test
  - list/storekeys/a
  - list/storekeys/in-17
  - list/storekeys/in-append
  - list/fieldinit-assoclista/a
  - okfuns/getkeys-one
  - okfuns/getkeys-app
  - list/fieldinit-assoclista/c
  - okfuns/getkeys-empty
  - list/storekeys/in-empty