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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: ws, lws,
Comment:
Used by: at-uni, exin-uni, in-uni, size-uni,
Used by units in proved state: separation, linked-list-aux, linked-list,
Proof exists?: Yes

View the proof

Infos about the proof

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