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Theorem disj-singleton-write

⊦ ∅(r := o) ⊥ h ↔ ¬ r ∈ h

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: union-left-singleton, union-left-singleton-at,
Used by units in proved state: refmap-maplet, map-maplet, refmap-separation, linked-maplist, dlinked-maplist, map-separation,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: disj,
Used spec theorems:
- Used simplifier rules:
  - map/In-insert
  - map/In-empty