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Theorem union-in

⊦ rk ∈ st ∪ st0 ↔ rk ∈ st ∨ rk ∈ st0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: subset-is-union, union-empty-01, union-in-01, union-in-02, union-init, union-init-01, union-subset, union-subset-left,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: union-at-left, union-at-right-01, union-def,
Used spec theorems:
- Used simplifier rules:
  - store/javastore/In-store
  - store/javastore/in-pair