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Theorem vals-in

⊦ val ∈ fis .vals ↔ (∃ sk. sk × val ∈ fis)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas: getvals-rec-01, getvals-empty,
Used spec theorems:
- Used simplifier rules:
  - pair/fieldinit/inj
  - pair/fieldinit/elim
  - list/fieldinit-assoclista/in-06
  - list/javavalues/a
  - list/javavalues/in-17
  - list/javavalues/in-append
  - list/fieldinit-assoclista/a
  - list/fieldinit-assoclista/c
  - list/javavalues/in-empty
  - list/fieldinit-assoclista/in-empty