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Theorem reachable-addnew

⊦ reachable(r, r1, H) ∧ ¬ r2 ∈ H → (¬ reachable(r, r1, H[r2, ce]) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: reachable-addnew-rev,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas: path-cons, self-reachable, path-one, reachable-def, reach-alloc,
Used spec theorems:
- Used simplifier rules:
  - store/linheap/At-in-out
  - list/reflist/e-01
  - list/reflist/c
  - list/reflist/app
  - list/reflist/a
  - list-last/reflist/l
  - store/linheap/In-insert
  - list-last/reflist/l-02