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Theorem union-eq-empty

⊦ zh0 ⊥ zh1 → (∅ = zh0 ∪ zh1 ↔ zh0 = ∅ ∧ zh1 = ∅)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
Used spec theorems:
- heap/zheap/ext
Used simplifier rules:
- heap/zheap/uni-emp-l
- heap/zheap/in-uni
- heap/zheap/in-emp