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Theorem getkeys-app

⊦ (fis + fis0) .keys = fis .keys + fis0 .keys

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: dups-fis-keys, getkeys-one, keys-at, keys-empty, keys-in, keys-length, keys-put-in, keys-put-notin, nonnullrefs-dups-key, nonnullrefs-in-key, validFields-empty-01, validFields-fis, validFields-rec,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: getkeys-rec, getkeys-empty,
Used spec theorems:
- Used simplifier rules:
  - list/storekeys/app-01
  - list/fieldinit-assoclista/c
  - list/fieldinit-assoclista/Nil
  - list/fieldinit-assoclista/a
  - list/storekeys/Nil
  - list/storekeys/a