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Theorem in-uni

⊦ h0 ⊥ h1 → (r ∈ h0 ∪ h1 ↔ r ∈ h0 ∨ r ∈ h1)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: at-uni, del-uni, disj-distr-uni, disj-union-diff, size-uni, subset-uni, subset-union, uni-ass, uni-com, uni-inj, union-diff-distr, union-left-singleton, union-left-singleton-at, union-split2,
Used by units in proved state: refmap-maplet, map-maplet, refmap-separation, linked-maplist, map-sep, dlinked-maplist,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 14
Used lemmas: disj, uni-put, uni-emp,
Used spec theorems:
- map/exnotempty
Used simplifier rules: