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Theorem union-add-singleton-right

⊦ r ≠ null ∧ ¬ r ∈ h → h ∪ (∅ ++ r)(r := o) = (h ++ r)(r := o)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: exin-uni, union-add-singleton-left,
Used by units in proved state: separation,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: uni-emp, uni-alloc, disj-emp-r, disj-r, disj, uni-write,
Used spec theorems:
- Used simplifier rules:
  - heap/in-emp
  - heap/in-alloc