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Theorem disj-write

r ≠ null, ¬ r ∈ h1 ⊦ h0 ⊥ (h1 ++ r)(r := o) ↔ h0 ⊥ h1 ∧ ¬ r ∈ h0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 11
Used lemmas: disj-l, disj,
Used spec theorems:
- Used simplifier rules: