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Theorem validFields-rec

⊦ validFields(r, (sk × val) ' + fis, st) ↔ validFields(r, fis, st) ∧ sk ≠ _length ∧ sk ≠ _type ∧ r -- sk ∈ st ∧ ¬ sk ∈ fis

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: onlymod-is-update, update-length, validFields-del,
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: hasKeys-one, hasKeys-app, getkeys-one, getkeys-app, validFields,
Used spec theorems:
- Used simplifier rules:
  - storefuns/instore-01
  - list/storekeys/a
  - pair/fieldinit/sel-02
  - assoclist/fieldinit/inone
  - assoclist/fieldinit/in-append
  - list/fieldinit-assoclista/a
  - assoclist/fieldinit/cons