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Theorem union-add-singleton-left

⊦ ¬ r ∈ h → ∅(r := o) ∪ h = h(r := o)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: union-add-singleton-right, disj-emp-r, disj-write, uni-com,
Used spec theorems:
- Used simplifier rules:
  - map/inj-put
  - map/In-empty