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Theorem reachable-closed

⊦ reachable(r0, r1, H0 ∪ H1) ∧ H0 ⊥ H1 ∧ closed(H1) ∧ r0 ∈ H1 → r1 ∈ H1

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by:
Used by units in proved state: copy,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas: closed-succ, path-rec, path-emp, reachable,
Used spec theorems:
- Used simplifier rules:
  - list/a
  - heap/node-heap/at-uni
  - heap/node-heap/disj-r
  - heap/node-heap/in-uni
  - list/c
  - node/elim