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Theorem union-keys

⊦ (st ∪ st0) .keys = st .keys ∪ st0 .keys

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: 3
Used lemmas: union-rec, union-empty,
Used spec theorems:
- Used simplifier rules:
  - set-union/javastore/unadd
  - ostore/javastore/insert-03
  - ostore/javastore/empty
  - set-union/javastore/une
  - set-union/javastore/una
  - set-union/javastore/unc