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Theorem precise-same

precise(hP) ⊦ hP(h0) ∧ hP(h1) ∧ h0 ⊥ h ∧ h1 ⊥ h2 → (h0 ∪ h = h1 ∪ h2 ↔ h0 = h1 ∧ h = h2)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: precise-and, precise-disj, precise-sep,
Used by units in proved state: linked-list,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: precise,
Used spec theorems:
- Used simplifier rules:
  - heap/uni-inj